Information on Result #1792458
Digital (54, 73, 5010)-net over F8, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(873, 5010, F8, 19) (dual of [5010, 4937, 20]-code), using
- 902 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 5 times 0, 1, 16 times 0, 1, 48 times 0, 1, 123 times 0, 1, 264 times 0, 1, 438 times 0) [i] based on linear OA(865, 4100, F8, 19) (dual of [4100, 4035, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(865, 4096, F8, 19) (dual of [4096, 4031, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 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(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(18) ⊂ Ce(17) [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.