Information on Result #1725914
Digital (77, 95, 34847)-net over F7, using net defined by OOA based on linear OOA(795, 34847, F7, 21, 18) (dual of [(34847, 21), 731692, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(795, 104542, F7, 3, 18) (dual of [(104542, 3), 313531, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(795, 104544, F7, 3, 18) (dual of [(104544, 3), 313537, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(795, 104544, F7, 18) (dual of [104544, 104449, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(795, 117671, F7, 18) (dual of [117671, 117576, 19]-code), using
- 1 times code embedding in larger space [i] 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
- 1 times code embedding in larger space [i] based on linear OA(794, 117670, F7, 18) (dual of [117670, 117576, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(795, 117671, F7, 18) (dual of [117671, 117576, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(795, 104544, F7, 18) (dual of [104544, 104449, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(795, 104544, F7, 3, 18) (dual of [(104544, 3), 313537, 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.