Information on Result #690604
Linear OA(9116, 764, F9, 39) (dual of [764, 648, 40]-code), using construction XX applied to Ce(38) ⊂ Ce(30) ⊂ Ce(29) based on
- linear OA(9103, 729, F9, 39) (dual of [729, 626, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(982, 729, F9, 31) (dual of [729, 647, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(979, 729, F9, 30) (dual of [729, 650, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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.