Information on Result #690599
Linear OA(9122, 764, F9, 41) (dual of [764, 642, 42]-code), using construction XX applied to Ce(40) ⊂ Ce(32) ⊂ Ce(31) based on
- linear OA(9109, 729, F9, 41) (dual of [729, 620, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(988, 729, F9, 33) (dual of [729, 641, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(985, 729, F9, 32) (dual of [729, 644, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [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.