Information on Result #1725552
Digital (65, 80, 39228)-net over F7, using net defined by OOA based on linear OOA(780, 39228, F7, 21, 15) (dual of [(39228, 21), 823708, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(780, 117685, F7, 3, 15) (dual of [(117685, 3), 352975, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(780, 117686, F7, 3, 15) (dual of [(117686, 3), 352978, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(780, 117686, F7, 15) (dual of [117686, 117606, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(8) [i] based on
- linear OA(773, 117649, F7, 15) (dual of [117649, 117576, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(743, 117649, F7, 9) (dual of [117649, 117606, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(77, 37, F7, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- construction X applied to Ce(14) ⊂ Ce(8) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(780, 117686, F7, 15) (dual of [117686, 117606, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(780, 117686, F7, 3, 15) (dual of [(117686, 3), 352978, 16]-NRT-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.