Information on Result #1795582
Digital (107, 149, 4438)-net over F8, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8149, 4438, F8, 42) (dual of [4438, 4289, 43]-code), using
- 334 step Varšamov–Edel lengthening with (ri) = (1, 0, 0, 0, 1, 27 times 0, 1, 108 times 0, 1, 192 times 0) [i] based on linear OA(8145, 4100, F8, 42) (dual of [4100, 3955, 43]-code), using
- construction X applied to Ce(41) ⊂ Ce(40) [i] based on
- linear OA(8145, 4096, F8, 42) (dual of [4096, 3951, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [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(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(41) ⊂ Ce(40) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.