Information on Result #2700567
Linear OOA(8157, 1370, F8, 3, 44) (dual of [(1370, 3), 3953, 45]-NRT-code), using 81 times duplication based on linear OOA(8156, 1370, F8, 3, 44) (dual of [(1370, 3), 3954, 45]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8156, 4110, F8, 44) (dual of [4110, 3954, 45]-code), using
- discarding factors / shortening the dual code based on linear OA(8156, 4111, F8, 44) (dual of [4111, 3955, 45]-code), using
- construction X applied to Ce(43) ⊂ Ce(40) [i] based on
- linear OA(8153, 4096, F8, 44) (dual of [4096, 3943, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(8141, 4096, F8, 41) (dual of [4096, 3955, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(83, 15, F8, 2) (dual of [15, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- construction X applied to Ce(43) ⊂ Ce(40) [i] based on
- discarding factors / shortening the dual code based on linear OA(8156, 4111, F8, 44) (dual of [4111, 3955, 45]-code), using
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.