diff --git a/sync_rtl/top/TB/tb_mlkem_kg_katK_xsim.v b/sync_rtl/top/TB/tb_mlkem_kg_katK_xsim.v
new file mode 100644
index 0000000..6c9a5cc
--- /dev/null
+++ b/sync_rtl/top/TB/tb_mlkem_kg_katK_xsim.v
@@ -0,0 +1,76 @@
+// tb_mlkem_kg_katK_xsim.v - ML-KEM KeyGen vs NIST KAT, parametric K (KP) + CASE.
+// xelab -generic_top KP=2|3|4 ; xsim -testplusarg CASE=n
+//   KP=2 -> k2 vectors (ML-KEM-512), KP=3 -> k3 (768), KP=4 -> k4 (1024).
+//   ek = 384*KP+32 bytes (==KAT pk), dk = 768*KP+96 bytes (==KAT sk).
+`timescale 1ns/1ps
+module tb_mlkem_kg_katK_xsim;
+    parameter KP = 2;
+    localparam EKB = 384*KP + 32;
+    localparam DKB = 768*KP + 96;
+
+    reg clk=0, rst_n=0, start_i=0;
+    reg [255:0] d_i, z_i;
+    wire busy_o, done_o;
+    reg [3:0] dbg_slot_i=0; reg [7:0] dbg_idx_i=0; wire [11:0] dbg_coeff_o;
+    reg dbg_byte_sel_i=0; reg [10:0] dbg_byte_idx_i=0; wire [7:0] dbg_byte_o;
+    reg [11:0] dbg_dk_idx_i=0; wire [7:0] dbg_dk_o;
+    wire [255:0] dbg_rho_o, dbg_sigma_o;
+
+    mlkem_top #(.K(KP)) dut (
+        .clk(clk), .rst_n(rst_n), .d_i(d_i), .z_i(z_i), .start_i(start_i),
+        .busy_o(busy_o), .done_o(done_o),
+        .dbg_slot_i(dbg_slot_i), .dbg_idx_i(dbg_idx_i), .dbg_coeff_o(dbg_coeff_o),
+        .dbg_byte_sel_i(dbg_byte_sel_i), .dbg_byte_idx_i(dbg_byte_idx_i), .dbg_byte_o(dbg_byte_o),
+        .dbg_dk_idx_i(dbg_dk_idx_i), .dbg_dk_o(dbg_dk_o),
+        .dbg_rho_o(dbg_rho_o), .dbg_sigma_o(dbg_sigma_o)
+    );
+    always #5 clk = ~clk;
+
+    reg [255:0] dmem [0:0];
+    reg [255:0] zmem [0:0];
+    reg [7:0]   ek_gold [0:EKB-1];
+    reg [7:0]   dk_gold [0:DKB-1];
+    integer c, i, errors, casenum;
+    reg [8*80-1:0] tag, dfile, zfile, ekfile, dkfile;
+
+    initial begin
+        if (!$value$plusargs("CASE=%d", casenum)) casenum = 0;
+        $sformat(tag, "k%0d", KP);
+        $sformat(dfile,  "sync_rtl/top/TB/vectors/kat_%0s_c%0d_d.hex",  tag, casenum);
+        $sformat(zfile,  "sync_rtl/top/TB/vectors/kat_%0s_c%0d_z.hex",  tag, casenum);
+        $sformat(ekfile, "sync_rtl/top/TB/vectors/kat_%0s_c%0d_ek.hex", tag, casenum);
+        $sformat(dkfile, "sync_rtl/top/TB/vectors/kat_%0s_c%0d_dk.hex", tag, casenum);
+        $readmemh(dfile,  dmem);
+        $readmemh(zfile,  zmem);
+        $readmemh(ekfile, ek_gold);
+        $readmemh(dkfile, dk_gold);
+        d_i = dmem[0]; z_i = zmem[0];
+
+        rst_n=0; repeat(4) @(posedge clk); rst_n=1; @(posedge clk);
+        start_i=1; @(posedge clk); start_i=0;
+        c=0; while(!done_o && c<2000000) begin @(posedge clk); c=c+1; end
+        if(!done_o) begin $display("FAIL K=%0d case %0d: timeout", KP, casenum); $finish; end
+        $display("=== ML-KEM K=%0d KAT case %0d: KeyGen done in %0d cyc ===", KP, casenum, c);
+
+        errors = 0;
+        dbg_byte_sel_i = 1'b0;
+        for (i = 0; i < EKB; i = i + 1) begin
+            dbg_byte_idx_i = i[10:0]; @(posedge clk); @(posedge clk);
+            if (dbg_byte_o !== ek_gold[i]) begin
+                if (errors < 8) $display("  EK[%0d] got=%02x exp=%02x", i, dbg_byte_o, ek_gold[i]);
+                errors = errors + 1;
+            end
+        end
+        for (i = 0; i < DKB; i = i + 1) begin
+            dbg_dk_idx_i = i[11:0]; @(posedge clk); @(posedge clk);
+            if (dbg_dk_o !== dk_gold[i]) begin
+                if (errors < 8) $display("  DK[%0d] got=%02x exp=%02x", i, dbg_dk_o, dk_gold[i]);
+                errors = errors + 1;
+            end
+        end
+        if (errors == 0) $display("K=%0d CASE %0d PASS: ek (%0dB)==pk, dk (%0dB)==sk", KP, casenum, EKB, DKB);
+        else             $display("K=%0d CASE %0d FAIL: %0d mismatches", KP, casenum, errors);
+        $finish;
+    end
+    initial begin #120000000; $display("FAIL: global timeout"); $finish; end
+endmodule
diff --git a/sync_rtl/top/TB/vectors/kat_k3_c0_d.hex b/sync_rtl/top/TB/vectors/kat_k3_c0_d.hex
new file mode 100644
index 0000000..d7ca6f3
--- /dev/null
+++ b/sync_rtl/top/TB/vectors/kat_k3_c0_d.hex
@@ -0,0 +1 @@
+2426f1941779574d3f1b163bd57f7e173e229e630ec7f7073bdf365137c4bb6d
diff --git a/sync_rtl/top/TB/vectors/kat_k3_c0_dk.hex b/sync_rtl/top/TB/vectors/kat_k3_c0_dk.hex
new file mode 100644
index 0000000..5328114
--- /dev/null
+++ b/sync_rtl/top/TB/vectors/kat_k3_c0_dk.hex
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diff --git a/sync_rtl/top/TB/vectors/kat_k3_c0_ek.hex b/sync_rtl/top/TB/vectors/kat_k3_c0_ek.hex
new file mode 100644
index 0000000..c1e5265
--- /dev/null
+++ b/sync_rtl/top/TB/vectors/kat_k3_c0_ek.hex
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diff --git a/sync_rtl/top/TB/vectors/kat_k3_c1_ek.hex b/sync_rtl/top/TB/vectors/kat_k3_c1_ek.hex
new file mode 100644
index 0000000..920f646
--- /dev/null
+++ b/sync_rtl/top/TB/vectors/kat_k3_c1_ek.hex
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diff --git a/sync_rtl/top/TB/vectors/kat_k3_c2_ek.hex b/sync_rtl/top/TB/vectors/kat_k3_c2_ek.hex
new file mode 100644
index 0000000..37984d6
--- /dev/null
+++ b/sync_rtl/top/TB/vectors/kat_k3_c2_ek.hex
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diff --git a/sync_rtl/top/TB/vectors/kat_k4_c1_ek.hex b/sync_rtl/top/TB/vectors/kat_k4_c1_ek.hex
new file mode 100644
index 0000000..51a3aa6
--- /dev/null
+++ b/sync_rtl/top/TB/vectors/kat_k4_c1_ek.hex
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diff --git a/sync_rtl/top/TB/vectors/kat_k4_c2_ek.hex b/sync_rtl/top/TB/vectors/kat_k4_c2_ek.hex
new file mode 100644
index 0000000..314b8c8
--- /dev/null
+++ b/sync_rtl/top/TB/vectors/kat_k4_c2_ek.hex
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diff --git a/sync_rtl/top/TB/vectors/kat_k4_c2_z.hex b/sync_rtl/top/TB/vectors/kat_k4_c2_z.hex
new file mode 100644
index 0000000..baf4a26
--- /dev/null
+++ b/sync_rtl/top/TB/vectors/kat_k4_c2_z.hex
@@ -0,0 +1 @@
+d026bb15f52e8df87779ff953ccf42a9d5401111c402c448d77cb291bbe6aa1e
diff --git a/sync_rtl/top/TB/xsim_run.tcl b/sync_rtl/top/TB/xsim_run.tcl
index feade0e..621b149 100644
--- a/sync_rtl/top/TB/xsim_run.tcl
+++ b/sync_rtl/top/TB/xsim_run.tcl
@@ -1,16 +1,12 @@
-# xsim_run.tcl - Vivado XSIM for mlkem_top ML-KEM-512 KeyGen.
+# xsim_run.tcl - Vivado XSIM for mlkem_top ML-KEM KeyGen, all K in {2,3,4}.
 #
-# Compiles the full KeyGen datapath + all leaf modules, then runs the
-# end-to-end NIST KAT testbench for count=0..4 (each verifies ek==KAT.pk
-# 800B and dk==KAT.sk 1632B byte-exact).
+# Compiles the full KeyGen datapath + leaf modules, then runs the parametric
+# NIST KAT testbench for ML-KEM-512 (K=2), 768 (K=3), 1024 (K=4). Each case
+# verifies ek==KAT.pk and dk==KAT.sk byte-exact.
 #
-# Run from project root:
 #   ./run_tb.sh top
-#   (or: vivado-style step-by-step with the commands below)
 
-# ================================================================
-# Step 1: Compile RTL sources (leaf modules + top)
-# ================================================================
+# ---- Step 1: compile RTL ----
 xvlog -sv --relax -i . sync_rtl/sha3/keccak_round.v
 xvlog -sv --relax -i . sync_rtl/sha3/keccak_core.v
 xvlog -sv --relax -i . sync_rtl/sha3/sha3_top.v
@@ -25,21 +21,23 @@ xvlog -sv --relax -i . sync_rtl/poly_mul/poly_mul_zeta_rom.v
 xvlog -sv --relax -i . sync_rtl/poly_mul/poly_mul_sync.v
 xvlog -sv --relax -i . sync_rtl/top/mlkem_top.v
 
-# ================================================================
-# Step 2: Compile KAT testbench (parameterized by +CASE=n)
-# ================================================================
-xvlog -sv --relax sync_rtl/top/TB/tb_mlkem_kg_katN_xsim.v
+# ---- Step 2: compile parametric KAT testbench ----
+xvlog -sv --relax sync_rtl/top/TB/tb_mlkem_kg_katK_xsim.v
 
-# ================================================================
-# Step 3: Elaborate snapshot
-# ================================================================
-xelab tb_mlkem_kg_katN_xsim -s mlkem_kg_kat --timescale 1ns/1ps
+# ---- Step 3: elaborate one snapshot per K ----
+xelab tb_mlkem_kg_katK_xsim -generic_top KP=2 -s mlkem_kg_k2 --timescale 1ns/1ps
+xelab tb_mlkem_kg_katK_xsim -generic_top KP=3 -s mlkem_kg_k3 --timescale 1ns/1ps
+xelab tb_mlkem_kg_katK_xsim -generic_top KP=4 -s mlkem_kg_k4 --timescale 1ns/1ps
 
-# ================================================================
-# Step 4: Run all 5 KAT cases (count=0..4)
-# ================================================================
-xsim mlkem_kg_kat -R -testplusarg CASE=0
-xsim mlkem_kg_kat -R -testplusarg CASE=1
-xsim mlkem_kg_kat -R -testplusarg CASE=2
-xsim mlkem_kg_kat -R -testplusarg CASE=3
-xsim mlkem_kg_kat -R -testplusarg CASE=4
+# ---- Step 4: run KAT cases (K=2: 0..4, K=3/4: 0..2) ----
+xsim mlkem_kg_k2 -R -testplusarg CASE=0
+xsim mlkem_kg_k2 -R -testplusarg CASE=1
+xsim mlkem_kg_k2 -R -testplusarg CASE=2
+xsim mlkem_kg_k2 -R -testplusarg CASE=3
+xsim mlkem_kg_k2 -R -testplusarg CASE=4
+xsim mlkem_kg_k3 -R -testplusarg CASE=0
+xsim mlkem_kg_k3 -R -testplusarg CASE=1
+xsim mlkem_kg_k3 -R -testplusarg CASE=2
+xsim mlkem_kg_k4 -R -testplusarg CASE=0
+xsim mlkem_kg_k4 -R -testplusarg CASE=1
+xsim mlkem_kg_k4 -R -testplusarg CASE=2
diff --git a/sync_rtl/top/mlkem_top.v b/sync_rtl/top/mlkem_top.v
index 5b59669..bdb078a 100644
--- a/sync_rtl/top/mlkem_top.v
+++ b/sync_rtl/top/mlkem_top.v
@@ -20,8 +20,7 @@
 `include "sync_rtl/common/defines.vh"
 
 module mlkem_top #(
-    parameter K = 2,                 // ML-KEM-512
-    parameter ETA1 = 3
+    parameter K = 2                  // ML-KEM-512=2, 768=3, 1024=4 (eta1 derived)
 ) (
     input              clk,
     input              rst_n,
@@ -38,7 +37,7 @@ module mlkem_top #(
     output [11:0]      dbg_coeff_o,
     // Debug byte readback: ek (sel=0, 0..799) / dk_pke (sel=1, 0..767)
     input              dbg_byte_sel_i,
-    input  [9:0]       dbg_byte_idx_i,
+    input  [10:0]      dbg_byte_idx_i,
     output [7:0]       dbg_byte_o,
     // Debug full-dk readback: dk = dk_pke(768) || ek(800) || H(ek)(32) || z(32)
     // = 1632 bytes. Index 0..1631.
@@ -50,21 +49,23 @@ module mlkem_top #(
 );
 
     localparam Q = `Q;   // 3329
+    // FIPS 203: eta1 = 3 for ML-KEM-512 (K=2), else 2 (K=3/4).
+    localparam ETA1 = (K == 2) ? 3 : 2;
 
     // ================================================================
-    // Polynomial storage: K=2 needs A_hat[2][2]=4, s/s_hat[2], e/e_hat[2],
-    // t_hat[2]. Reuse slots: s and s_hat share (NTT in place), same for e.
-    // Slot map:
-    //   0..3  : A_hat[0][0],A_hat[0][1],A_hat[1][0],A_hat[1][1]
-    //   4..5  : s_hat[0], s_hat[1]   (s[i] then overwritten by NTT)
-    //   6..7  : e_hat[0], e_hat[1]   (e[i] then overwritten by NTT)
-    //   8..9  : t_hat[0], t_hat[1]
+    // Polynomial storage, generalized for K in {2,3,4}.
+    // Slot layout (each slot = 256 coeffs):
+    //   A_hat[i][j] : slots 0 .. K*K-1        at index i*K + j
+    //   s_hat[i]    : slots SLOT_S .. +K-1     (s[i] then overwritten by NTT)
+    //   e_hat[i]    : slots SLOT_E .. +K-1
+    //   t_hat[i]    : slots SLOT_T .. +K-1
+    // NUM_SLOTS = K*K + 3*K  (10 / 24 / 28 for K=2/3/4)
     // ================================================================
-    localparam SLOT_A00 = 4'd0, SLOT_A01 = 4'd1, SLOT_A10 = 4'd2, SLOT_A11 = 4'd3;
-    localparam SLOT_S0  = 4'd4, SLOT_S1  = 4'd5;
-    localparam SLOT_E0  = 4'd6, SLOT_E1  = 4'd7;
-    localparam SLOT_T0  = 4'd8, SLOT_T1  = 4'd9;
-    localparam NUM_SLOTS = 10;
+    localparam SLOT_S    = K*K;          // s_hat base slot
+    localparam SLOT_E    = K*K + K;       // e_hat base slot
+    localparam SLOT_T    = K*K + 2*K;     // t_hat base slot
+    localparam NUM_SLOTS = K*K + 3*K;
+    localparam SAW       = 5;             // slot-address width (>=clog2(28))
 
     reg [11:0] polymem [0:NUM_SLOTS*256-1];
 
@@ -73,9 +74,10 @@ module mlkem_top #(
     always @(posedge clk) dbg_coeff_r <= polymem[dbg_slot_i*256 + dbg_idx_i];
     assign dbg_coeff_o = dbg_coeff_r;
 
-    // ek (800B) and dk_pke (768B) byte memories (byteEncode12 output)
-    localparam EK_BYTES = 384*K + 32;   // 800 for K=2
-    localparam DK_BYTES = 384*K;         // 768 for K=2
+    // ek and dk_pke byte memories (byteEncode12 output).
+    //   ek = 384*K + 32 bytes (== KAT pk),  dk_pke = 384*K bytes (== KAT sk prefix)
+    localparam EK_BYTES = 384*K + 32;   // 800 / 1184 / 1568
+    localparam DK_BYTES = 384*K;         // 768 / 1152 / 1536
     reg [7:0] ek_mem  [0:EK_BYTES-1];
     reg [7:0] dkp_mem [0:DK_BYTES-1];
 
@@ -84,17 +86,19 @@ module mlkem_top #(
         dbg_byte_r <= dbg_byte_sel_i ? dkp_mem[dbg_byte_idx_i] : ek_mem[dbg_byte_idx_i];
     assign dbg_byte_o = dbg_byte_r;
 
-    // full dk = dk_pke(0..767) || ek(768..1567) || H(ek)(1568..1599) || z(1600..1631)
+    // full dk = dk_pke(DK_BYTES) || ek(EK_BYTES) || H(ek)(32) || z(32)
+    localparam DK_EK_END  = DK_BYTES + EK_BYTES;        // ek region end
+    localparam DK_HEK_END = DK_EK_END + 32;              // H(ek) region end
     reg [7:0] dbg_dk_r;
     always @(posedge clk) begin
-        if (dbg_dk_idx_i < 12'd768)
+        if (dbg_dk_idx_i < DK_BYTES[11:0])
             dbg_dk_r <= dkp_mem[dbg_dk_idx_i];
-        else if (dbg_dk_idx_i < 12'd1568)
-            dbg_dk_r <= ek_mem[dbg_dk_idx_i - 12'd768];
-        else if (dbg_dk_idx_i < 12'd1600)
-            dbg_dk_r <= hek_r[(dbg_dk_idx_i - 12'd1568)*8 +: 8];
+        else if (dbg_dk_idx_i < DK_EK_END[11:0])
+            dbg_dk_r <= ek_mem[dbg_dk_idx_i - DK_BYTES[11:0]];
+        else if (dbg_dk_idx_i < DK_HEK_END[11:0])
+            dbg_dk_r <= hek_r[(dbg_dk_idx_i - DK_EK_END[11:0])*8 +: 8];
         else
-            dbg_dk_r <= z_i[(dbg_dk_idx_i - 12'd1600)*8 +: 8];
+            dbg_dk_r <= z_i[(dbg_dk_idx_i - DK_HEK_END[11:0])*8 +: 8];
     end
     assign dbg_dk_o = dbg_dk_r;
 
@@ -114,23 +118,22 @@ module mlkem_top #(
     reg [3:0]   st, st_next;
     reg [255:0] rho_r, sigma_r;
 
-    // A-generation bookkeeping
-    reg [2:0]   a_pair;        // 0..K*K (=4) pairs done
-    reg [7:0]   a_widx;        // write index 0..255 within current poly
-    reg         a_busy;        // 1 once current pair's request accepted (gates collect)
-    wire [1:0]  a_i = a_pair[1] ? 2'd1 : 2'd0;   // pair/K  (K=2)
-    wire [1:0]  a_j = a_pair[0] ? 2'd1 : 2'd0;   // pair%K
-    wire [3:0]  a_slot = {2'b0, a_pair[1], a_pair[0]};  // SLOT_A00..A11 = pair index
+    // A-generation bookkeeping: explicit i/j counters (avoid runtime divide)
+    reg  [2:0]   a_i;          // row 0..K-1
+    reg  [2:0]   a_j;          // col 0..K-1
+    reg  [4:0]   a_pair;       // 0..K*K pairs done (for done test)
+    reg  [7:0]   a_widx;       // write index 0..255 within current poly
+    reg          a_busy;       // 1 once current pair's request accepted (gates collect)
+    wire [SAW-1:0] a_slot = a_i*K + a_j;   // A_hat[i][j] slot = i*K + j
 
-    // C-generation bookkeeping: 2*K polys = s0,s1,e0,e1 (idx 0..3)
-    reg [2:0]   c_poly;        // 0..2K
-    reg [7:0]   c_widx;
-    reg         c_busy;        // 1 once current poly's request accepted (gates collect)
-    wire [7:0]  c_nonce = {5'b0, c_poly};        // s:0,1  e:2,3  == nonce
-    // slot: c_poly 0->S0,1->S1,2->E0,3->E1
-    wire [3:0]  c_slot = (c_poly == 3'd0) ? SLOT_S0 :
-                         (c_poly == 3'd1) ? SLOT_S1 :
-                         (c_poly == 3'd2) ? SLOT_E0 : SLOT_E1;
+    // C-generation bookkeeping: 2*K polys (s[0..K-1] then e[0..K-1])
+    reg  [4:0]   c_poly;       // 0..2K
+    reg  [7:0]   c_widx;
+    reg          c_busy;
+    wire [7:0]   c_nonce = {3'b0, c_poly};       // s:0..K-1  e:K..2K-1  == nonce
+    // slot: c_poly < K -> s_hat[c_poly], else e_hat[c_poly-K]
+    wire [SAW-1:0] c_slot = (c_poly < K) ? (SLOT_S + c_poly)
+                                         : (SLOT_E + (c_poly - K));
 
     assign busy_o = (st != ST_IDLE);
     assign done_o = (st == ST_DONE);
@@ -167,7 +170,7 @@ module mlkem_top #(
     wire          h_vo;
     reg           h_ack;
     reg  [255:0]  hek_r;           // captured H(ek)
-    reg  [2:0]    h_blk;           // 0..5 block index
+    reg  [3:0]    h_blk;           // 0..H_NBLK-1 block index (up to 11 for K=4)
     reg  [7:0]    h_byte;          // 0..135 byte within block being assembled
     reg  [1:0]    h_phase;         // 0=assemble 1=feed 2=wait-perm 3=done
 
@@ -187,17 +190,20 @@ module mlkem_top #(
         .mb_ready_o(h_mbready)
     );
 
-    // byte b (0..135) of block blk for SHA3-256 over 800-byte ek:
-    //   global byte g = blk*136 + b; ek_mem[g] if g<800;
-    //   g==800 -> 0x06 (domain+first pad bit); g==815 -> |0x80 (last block); else 0
-    function [7:0] h_padbyte(input [2:0] blk, input [7:0] b);
+    // SHA3-256 over EK_BYTES-byte ek: rate=136. Padded length = H_NBLK*136.
+    //   pad: byte EK_BYTES = 0x06 (domain + first pad bit), last byte |= 0x80.
+    localparam H_NBLK   = (EK_BYTES + 136) / 136;   // ceil((EK_BYTES+1)/136): 6/9/12
+    localparam H_LAST   = H_NBLK*136 - 1;            // index of final padded byte
+    // byte b (0..135) of block blk: global g = blk*136 + b
+    function [7:0] h_padbyte(input [3:0] blk, input [7:0] b);
         integer g;
         begin
             g = blk*136 + b;
-            if (g < 800)        h_padbyte = ek_mem[g];
-            else if (g == 800)  h_padbyte = (g == 815) ? 8'h86 : 8'h06;
-            else if (g == 815)  h_padbyte = 8'h80;   // 6th block (815 = 5*136+135)
-            else                h_padbyte = 8'h00;
+            if (g < EK_BYTES)        h_padbyte = ek_mem[g];
+            else if (g == H_LAST && g == EK_BYTES) h_padbyte = 8'h86; // 0x06|0x80
+            else if (g == EK_BYTES)  h_padbyte = 8'h06;
+            else if (g == H_LAST)    h_padbyte = 8'h80;
+            else                     h_padbyte = 8'h00;
         end
     endfunction
 
@@ -213,8 +219,8 @@ module mlkem_top #(
         .clk(clk), .rst_n(rst_n),
         .rho_i(rho_r),
         .k_i(3'(K)),
-        .i_idx(a_i),
-        .j_idx(a_j),
+        .i_idx(a_i[1:0]),
+        .j_idx(a_j[1:0]),
         .valid_i(snt_valid),
         .ready_o(snt_ready),
         .coeff_o(snt_coeff),
@@ -249,12 +255,12 @@ module mlkem_top #(
 
     // ---- ntt_core: forward NTT (mode=0, no scaling) of s[i],e[i] in place ----
     // N-stage bookkeeping: process slots S0,S1,E0,E1 (= SLOT_S0 + n_slot).
-    reg  [2:0]  n_slot;        // 0..2K (4 polys)
+    reg  [4:0]  n_slot;        // 0..2K (process s_hat[0..K-1] then e_hat[0..K-1])
     reg  [8:0]  n_ridx;        // load read index 0..256
     reg  [7:0]  n_widx;        // output write index 0..255
     reg         n_valid;       // feeding coeffs to ntt_core
     reg         n_pending;     // waiting for ntt_core IDLE to start next slot
-    wire [3:0]  n_slot_addr = SLOT_S0 + {1'b0, n_slot};
+    wire [SAW-1:0] n_slot_addr = SLOT_S + n_slot;   // s_hat then e_hat contiguous
 
     wire        ntt_ready;
     wire [11:0] ntt_coeff;
@@ -277,8 +283,8 @@ module mlkem_top #(
     // ---- poly_mul_sync: t_hat[i] = e_hat[i] + sum_j A_hat[i][j] o s_hat[j] ----
     // M-stage bookkeeping. For each (i,j): LOAD 256 (A,shat) pairs, then accumulate
     // 256 products into T_i (init from E_i when j==0, else from running T_i).
-    reg  [1:0]  m_i;           // row 0..K
-    reg  [1:0]  m_j;           // col 0..K
+    reg  [2:0]  m_i;           // row 0..K (needs to reach K to exit)
+    reg  [2:0]  m_j;           // col 0..K-1
     reg  [8:0]  m_ld;          // load index 0..256
     reg  [7:0]  m_oidx;        // output/accum index 0..255
     reg         m_loading;     // 1 while streaming pairs into poly_mul
@@ -287,15 +293,14 @@ module mlkem_top #(
     // ---- Stage 2f: byteEncode12 serializer ----
     // Pack each poly (2 coeffs -> 3 bytes, LSB-first 12-bit). ek = t_hat[0..K-1]
     // bytes || rho; dk_pke = s_hat[0..K-1] bytes. Walk coeff pairs per poly.
-    reg  [2:0]  e_poly;        // which source poly: 0,1 = t_hat0,t_hat1 -> ek
-                               //                    2,3 = s_hat0,s_hat1 -> dk_pke
+    reg  [4:0]  e_poly;        // 0..2K-1: [0,K) = t_hat -> ek; [K,2K) = s_hat -> dk_pke
     reg  [7:0]  e_pair;        // 0..127 coeff-pair within poly
     reg  [9:0]  e_rho;         // 0..31 rho byte copy index (ek tail)
     reg         e_done;        // serialization complete
-    // source poly slot for current e_poly
-    wire [3:0]  e_slot = (e_poly == 3'd0) ? SLOT_T0 :
-                         (e_poly == 3'd1) ? SLOT_T1 :
-                         (e_poly == 3'd2) ? SLOT_S0 : SLOT_S1;
+    // source poly slot: t_hat[e_poly] for ek half, s_hat[e_poly-K] for dk half
+    wire        e_is_dk = (e_poly >= K);
+    wire [4:0]  e_pidx  = e_is_dk ? (e_poly - K) : e_poly;   // index within target
+    wire [SAW-1:0] e_slot = e_is_dk ? (SLOT_S + e_pidx) : (SLOT_T + e_pidx);
     // two coeffs of the current pair
     wire [11:0] e_c0 = polymem[e_slot*256 + {e_pair, 1'b0}];
     wire [11:0] e_c1 = polymem[e_slot*256 + {e_pair, 1'b1}];
@@ -304,13 +309,13 @@ module mlkem_top #(
     wire [7:0]  e_b1 = {e_c1[3:0], e_c0[11:8]};
     wire [7:0]  e_b2 = e_c1[11:4];
     // byte base offset within target memory: poly index *384 (= 128 pairs *3)
-    wire [9:0]  e_base = (e_poly[0]) ? 10'd384 : 10'd0;     // poly0->0, poly1->384
-    wire [9:0]  e_boff = e_base + {e_pair, 1'b0} + {2'b0, e_pair};  // pair*3
+    wire [11:0] e_base = e_pidx * 12'd384;
+    wire [11:0] e_boff = e_base + {e_pair, 1'b0} + {2'b0, e_pair};  // pair*3
 
-    wire [3:0]  m_aslot = {2'b0, m_i[0], m_j[0]};   // A_hat[i][j] slot = i*2+j (0..3)
-    wire [3:0]  m_sslot = SLOT_S0 + {3'b0, m_j[0]}; // s_hat[j]
-    wire [3:0]  m_eslot = SLOT_E0 + {3'b0, m_i[0]}; // e_hat[i]
-    wire [3:0]  m_tslot = SLOT_T0 + {3'b0, m_i[0]}; // t_hat[i]
+    wire [SAW-1:0]  m_aslot = m_i*K + m_j;     // A_hat[i][j] slot = i*K + j
+    wire [SAW-1:0]  m_sslot = SLOT_S + m_j;     // s_hat[j]
+    wire [SAW-1:0]  m_eslot = SLOT_E + m_i;     // e_hat[i]
+    wire [SAW-1:0]  m_tslot = SLOT_T + m_i;     // t_hat[i]
 
     reg          pm_valid;
     wire         pm_ready;
@@ -362,7 +367,9 @@ module mlkem_top #(
             sha3_ack   <= 1'b0;
             snt_valid  <= 1'b0;
             snt_ack    <= 1'b0;
-            a_pair     <= 3'd0;
+            a_pair     <= 5'd0;
+            a_i        <= 3'd0;
+            a_j        <= 3'd0;
             a_widx     <= 8'd0;
             a_busy     <= 1'b0;
             cbd_valid  <= 1'b0;
@@ -412,7 +419,9 @@ module mlkem_top #(
                 sha3_ack <= 1'b0;
                 snt_valid <= 1'b1;               // start first SampleNTT
                 snt_ack   <= 1'b1;
-                a_pair    <= 3'd0;
+                a_pair    <= 5'd0;
+                a_i       <= 3'd0;
+                a_j       <= 3'd0;
                 a_widx    <= 8'd0;
                 a_busy    <= 1'b0;
             end
@@ -429,12 +438,18 @@ module mlkem_top #(
                 if (a_busy && snt_vo && snt_ack) begin
                     polymem[a_slot*256 + a_widx] <= snt_coeff;
                     if (snt_last) begin
-                        // finished this poly; advance to next pair
-                        a_pair <= a_pair + 3'd1;
+                        // finished this poly; advance (i,j) in row-major order
+                        a_pair <= a_pair + 5'd1;
                         a_widx <= 8'd0;
                         a_busy <= 1'b0;
+                        if (a_j + 3'd1 < K) begin
+                            a_j <= a_j + 3'd1;
+                        end else begin
+                            a_j <= 3'd0;
+                            a_i <= a_i + 3'd1;
+                        end
                         // start next SampleNTT if more pairs remain
-                        if (a_pair + 3'd1 < K*K) snt_valid <= 1'b1;
+                        if (a_pair + 5'd1 < K*K) snt_valid <= 1'b1;
                     end else begin
                         a_widx <= a_widx + 8'd1;
                     end
@@ -579,9 +594,9 @@ module mlkem_top #(
 
             // ---- ST_E: byteEncode12 t_hat -> ek_mem, s_hat -> dkp_mem, ek tail = rho ----
             if (st == ST_E && !e_done) begin
-                if (e_poly < 3'd4) begin
-                    // pack current coeff-pair (3 bytes)
-                    if (e_poly < 3'd2) begin
+                if (e_poly < 2*K) begin
+                    // pack current coeff-pair (3 bytes): [0,K)=ek, [K,2K)=dk_pke
+                    if (!e_is_dk) begin
                         ek_mem[e_boff]      <= e_b0;
                         ek_mem[e_boff + 1]  <= e_b1;
                         ek_mem[e_boff + 2]  <= e_b2;
@@ -592,13 +607,13 @@ module mlkem_top #(
                     end
                     if (e_pair == 8'd127) begin
                         e_pair <= 8'd0;
-                        e_poly <= e_poly + 3'd1;   // next poly (or ->4 = rho phase)
+                        e_poly <= e_poly + 5'd1;   // next poly (or ->2K = rho phase)
                     end else begin
                         e_pair <= e_pair + 8'd1;
                     end
                 end else begin
-                    // rho copy: ek_mem[768 + r] = rho byte r  (r = 0..31)
-                    ek_mem[10'd768 + e_rho] <= rho_r[e_rho*8 +: 8];
+                    // rho copy: ek_mem[384*K + r] = rho byte r  (r = 0..31)
+                    ek_mem[12'(384*K) + e_rho] <= rho_r[e_rho*8 +: 8];
                     if (e_rho == 10'd31) e_done <= 1'b1;
                     else                 e_rho  <= e_rho + 10'd1;
                 end
@@ -623,7 +638,7 @@ module mlkem_top #(
                         if (h_byte == 8'd135) begin
                             h_byte    <= 8'd0;
                             h_mbvalid <= 1'b1;
-                            h_mblast  <= (h_blk == 3'd5);
+                            h_mblast  <= (h_blk == H_NBLK-1);
                             h_phase   <= 2'd1;        // feed
                         end else begin
                             h_byte <= h_byte + 8'd1;