Information on Result #1725006
Digital (54, 64, 411796)-net over F7, using net defined by OOA based on linear OOA(764, 411796, F7, 15, 10) (dual of [(411796, 15), 6176876, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(764, 823593, F7, 3, 10) (dual of [(823593, 3), 2470715, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(764, 823593, F7, 10) (dual of [823593, 823529, 11]-code), using
- (u, u+v)-construction [i] based on
- linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OA(757, 823550, F7, 10) (dual of [823550, 823493, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(757, 823543, F7, 10) (dual of [823543, 823486, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(750, 823543, F7, 9) (dual of [823543, 823493, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(70, 7, F7, 0) (dual of [7, 7, 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
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(764, 823593, F7, 10) (dual of [823593, 823529, 11]-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.