Information on Result #1726372
Digital (77, 100, 3482)-net over F7, using net defined by OOA based on linear OOA(7100, 3482, F7, 27, 23) (dual of [(3482, 27), 93914, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(7100, 13929, F7, 3, 23) (dual of [(13929, 3), 41687, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7100, 13931, F7, 3, 23) (dual of [(13931, 3), 41693, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(7100, 13931, F7, 23) (dual of [13931, 13831, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(7100, 16826, F7, 23) (dual of [16826, 16726, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- 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(781, 16807, F7, 19) (dual of [16807, 16726, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(74, 19, F7, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,7)), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(7100, 16826, F7, 23) (dual of [16826, 16726, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(7100, 13931, F7, 23) (dual of [13931, 13831, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(7100, 13931, F7, 3, 23) (dual of [(13931, 3), 41693, 24]-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.