Information on Result #1777604
Digital (132, 168, 4061)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4168, 4061, F4, 36) (dual of [4061, 3893, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(4168, 4119, F4, 36) (dual of [4119, 3951, 37]-code), using
- strength reduction [i] based on linear OA(4168, 4119, F4, 37) (dual of [4119, 3951, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(32) [i] based on
- linear OA(4163, 4096, F4, 37) (dual of [4096, 3933, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4145, 4096, F4, 33) (dual of [4096, 3951, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(36) ⊂ Ce(32) [i] based on
- strength reduction [i] based on linear OA(4168, 4119, F4, 37) (dual of [4119, 3951, 38]-code), using
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.