Information on Result #690641
Linear OA(989, 764, F9, 29) (dual of [764, 675, 30]-code), using construction XX applied to Ce(28) ⊂ Ce(20) ⊂ Ce(19) based on
- linear OA(976, 729, F9, 29) (dual of [729, 653, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(955, 729, F9, 21) (dual of [729, 674, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(952, 729, F9, 20) (dual of [729, 677, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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.