Information on Result #1776135
Digital (106, 144, 1097)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4144, 1097, F4, 38) (dual of [1097, 953, 39]-code), using
- 65 step Varšamov–Edel lengthening with (ri) = (1, 9 times 0, 1, 21 times 0, 1, 32 times 0) [i] based on linear OA(4141, 1029, F4, 38) (dual of [1029, 888, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(36) [i] based on
- linear OA(4141, 1024, F4, 38) (dual of [1024, 883, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4136, 1024, F4, 37) (dual of [1024, 888, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(37) ⊂ Ce(36) [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.