Information on Result #1489287
Linear OOA(864, 1742, F8, 3, 18) (dual of [(1742, 3), 5162, 19]-NRT-code), using OOA 2-folding based on linear OOA(864, 3484, F8, 2, 18) (dual of [(3484, 2), 6904, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(864, 3485, F8, 2, 18) (dual of [(3485, 2), 6906, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(864, 3485, F8, 18) (dual of [3485, 3421, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(864, 4107, F8, 18) (dual of [4107, 4043, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(14) [i] based on
- linear OA(861, 4096, F8, 18) (dual of [4096, 4035, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(853, 4096, F8, 15) (dual of [4096, 4043, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(83, 11, F8, 2) (dual of [11, 8, 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(17) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(864, 4107, F8, 18) (dual of [4107, 4043, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(864, 3485, F8, 18) (dual of [3485, 3421, 19]-code), using
Mode: 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.