Information on Result #690655
Linear OA(977, 764, F9, 24) (dual of [764, 687, 25]-code), using construction XX applied to Ce(23) ⊂ Ce(15) ⊂ Ce(14) based on
- linear OA(964, 729, F9, 24) (dual of [729, 665, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(943, 729, F9, 16) (dual of [729, 686, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(940, 729, F9, 15) (dual of [729, 689, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(912, 34, F9, 7) (dual of [34, 22, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 40, F9, 7) (dual of [40, 28, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(912, 40, F9, 7) (dual of [40, 28, 8]-code), using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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.