Information on Result #690591
Linear OA(9130, 763, F9, 44) (dual of [763, 633, 45]-code), using construction XX applied to Ce(43) ⊂ Ce(36) ⊂ Ce(34) based on
- linear OA(9118, 729, F9, 44) (dual of [729, 611, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(997, 729, F9, 37) (dual of [729, 632, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(994, 729, F9, 35) (dual of [729, 635, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(910, 32, F9, 6) (dual of [32, 22, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 40, F9, 6) (dual of [40, 30, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(910, 40, F9, 6) (dual of [40, 30, 7]-code), using
- linear OA(91, 2, F9, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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.