Information on Result #1725430
Digital (63, 77, 39225)-net over F7, using net defined by OOA based on linear OOA(777, 39225, F7, 21, 14) (dual of [(39225, 21), 823648, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(777, 117676, F7, 3, 14) (dual of [(117676, 3), 352951, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(777, 117677, F7, 3, 14) (dual of [(117677, 3), 352954, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(777, 117677, F7, 14) (dual of [117677, 117600, 15]-code), using
- construction X applied to Ce(14) ⊂ Ce(9) [i] based on
- 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(749, 117649, F7, 10) (dual of [117649, 117600, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(74, 28, F7, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,7)), using
- construction X applied to Ce(14) ⊂ Ce(9) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(777, 117677, F7, 14) (dual of [117677, 117600, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(777, 117677, F7, 3, 14) (dual of [(117677, 3), 352954, 15]-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.