Information on Result #902645
Linear OOA(3291, 633, F32, 2, 33) (dual of [(633, 2), 1175, 34]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3227, 120, F32, 2, 16) (dual of [(120, 2), 213, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,223P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OOA(3264, 513, F32, 2, 33) (dual of [(513, 2), 962, 34]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3264, 1026, F32, 33) (dual of [1026, 962, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3264, 1027, F32, 33) (dual of [1027, 963, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- linear OA(3263, 1024, F32, 33) (dual of [1024, 961, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3261, 1024, F32, 31) (dual of [1024, 963, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(3264, 1027, F32, 33) (dual of [1027, 963, 34]-code), using
- OOA 2-folding [i] based on linear OA(3264, 1026, F32, 33) (dual of [1026, 962, 34]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.