Information on Result #1789930
Digital (44, 56, 16833)-net over F7, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(756, 16833, F7, 12) (dual of [16833, 16777, 13]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(755, 16831, F7, 12) (dual of [16831, 16776, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(7) [i] based on
- linear OA(751, 16807, F7, 12) (dual of [16807, 16756, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(731, 16807, F7, 8) (dual of [16807, 16776, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(74, 24, F7, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,7)), using
- construction X applied to Ce(11) ⊂ Ce(7) [i] based on
- linear OA(755, 16832, F7, 11) (dual of [16832, 16777, 12]-code), using Gilbert–Varšamov bound and bm = 755 > Vbs−1(k−1) = 30 320079 540736 878444 288575 074557 682732 239799 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(755, 16831, F7, 12) (dual of [16831, 16776, 13]-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.