Information on Result #1802457
Digital (65, 99, 4137)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1699, 4137, F16, 34) (dual of [4137, 4038, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(1699, 4150, F16, 34) (dual of [4150, 4051, 35]-code), using
- 46 step Varšamov–Edel lengthening with (ri) = (3, 0, 0, 1, 11 times 0, 1, 30 times 0) [i] based on linear OA(1694, 4099, F16, 34) (dual of [4099, 4005, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(32) [i] based on
- linear OA(1694, 4096, F16, 34) (dual of [4096, 4002, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(1691, 4096, F16, 33) (dual of [4096, 4005, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(33) ⊂ Ce(32) [i] based on
- 46 step Varšamov–Edel lengthening with (ri) = (3, 0, 0, 1, 11 times 0, 1, 30 times 0) [i] based on linear OA(1694, 4099, F16, 34) (dual of [4099, 4005, 35]-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.