Information on Result #1790611
Digital (59, 83, 2118)-net over F7, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(783, 2118, F7, 24) (dual of [2118, 2035, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(783, 2411, F7, 24) (dual of [2411, 2328, 25]-code), using
- 1 times code embedding in larger space [i] based on linear OA(782, 2410, F7, 24) (dual of [2410, 2328, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- linear OA(781, 2401, F7, 24) (dual of [2401, 2320, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(71, 9, F7, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(782, 2410, F7, 24) (dual of [2410, 2328, 25]-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.