Information on Result #1724950
Digital (26, 36, 1222)-net over F7, using net defined by OOA based on linear OOA(736, 1222, F7, 15, 10) (dual of [(1222, 15), 18294, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(736, 2445, F7, 3, 10) (dual of [(2445, 3), 7299, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(736, 2446, F7, 3, 10) (dual of [(2446, 3), 7302, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(736, 2446, F7, 10) (dual of [2446, 2410, 11]-code), using
- 38 step Varšamov–Edel lengthening with (ri) = (2, 5 times 0, 1, 31 times 0) [i] based on linear OA(733, 2405, F7, 10) (dual of [2405, 2372, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(733, 2401, F7, 10) (dual of [2401, 2368, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(729, 2401, F7, 9) (dual of [2401, 2372, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 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
- 38 step Varšamov–Edel lengthening with (ri) = (2, 5 times 0, 1, 31 times 0) [i] based on linear OA(733, 2405, F7, 10) (dual of [2405, 2372, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(736, 2446, F7, 10) (dual of [2446, 2410, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(736, 2446, F7, 3, 10) (dual of [(2446, 3), 7302, 11]-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.