Information on Result #1725912
Digital (76, 94, 30856)-net over F7, using net defined by OOA based on linear OOA(794, 30856, F7, 21, 18) (dual of [(30856, 21), 647882, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(794, 92569, F7, 3, 18) (dual of [(92569, 3), 277613, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(794, 92571, F7, 3, 18) (dual of [(92571, 3), 277619, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(794, 92571, F7, 18) (dual of [92571, 92477, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(794, 117670, F7, 18) (dual of [117670, 117576, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(14) [i] based on
- linear OA(791, 117649, F7, 18) (dual of [117649, 117558, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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(73, 21, F7, 2) (dual of [21, 18, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- construction X applied to Ce(17) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(794, 117670, F7, 18) (dual of [117670, 117576, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(794, 92571, F7, 18) (dual of [92571, 92477, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(794, 92571, F7, 3, 18) (dual of [(92571, 3), 277619, 19]-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.