Information on Result #690660
Linear OA(971, 764, F9, 22) (dual of [764, 693, 23]-code), using construction XX applied to Ce(21) ⊂ Ce(13) ⊂ Ce(12) based on
- linear OA(958, 729, F9, 22) (dual of [729, 671, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(937, 729, F9, 14) (dual of [729, 692, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(934, 729, F9, 13) (dual of [729, 695, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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.