Information on Result #1726526
Digital (82, 107, 3079)-net over F7, using net defined by OOA based on linear OOA(7107, 3079, F7, 27, 25) (dual of [(3079, 27), 83026, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(7107, 12317, F7, 3, 25) (dual of [(12317, 3), 36844, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7107, 12320, F7, 3, 25) (dual of [(12320, 3), 36853, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(7107, 12320, F7, 25) (dual of [12320, 12213, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(7107, 16818, F7, 25) (dual of [16818, 16711, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(7106, 16807, F7, 25) (dual of [16807, 16701, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(796, 16807, F7, 23) (dual of [16807, 16711, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(71, 11, F7, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(7107, 16818, F7, 25) (dual of [16818, 16711, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(7107, 12320, F7, 25) (dual of [12320, 12213, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(7107, 12320, F7, 3, 25) (dual of [(12320, 3), 36853, 26]-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.