Information on Result #1725766
Digital (58, 75, 5264)-net over F7, using net defined by OOA based on linear OOA(775, 5264, F7, 21, 17) (dual of [(5264, 21), 110469, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(775, 15793, F7, 3, 17) (dual of [(15793, 3), 47304, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(775, 15795, F7, 3, 17) (dual of [(15795, 3), 47310, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(775, 15795, F7, 17) (dual of [15795, 15720, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(775, 16826, F7, 17) (dual of [16826, 16751, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(771, 16807, F7, 17) (dual of [16807, 16736, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(756, 16807, F7, 13) (dual of [16807, 16751, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(16) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(775, 16826, F7, 17) (dual of [16826, 16751, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(775, 15795, F7, 17) (dual of [15795, 15720, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(775, 15795, F7, 3, 17) (dual of [(15795, 3), 47310, 18]-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.