Information on Result #1725226
Digital (70, 82, 2642948)-net over F7, using net defined by OOA based on linear OOA(782, 2642948, F7, 15, 12) (dual of [(2642948, 15), 39644138, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(782, 5285897, F7, 3, 12) (dual of [(5285897, 3), 15857609, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(782, 5285897, F7, 12) (dual of [5285897, 5285815, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(782, 5764818, F7, 12) (dual of [5764818, 5764736, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(781, 5764801, F7, 12) (dual of [5764801, 5764720, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(765, 5764801, F7, 10) (dual of [5764801, 5764736, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(71, 17, F7, 1) (dual of [17, 16, 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(11) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(782, 5764818, F7, 12) (dual of [5764818, 5764736, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(782, 5285897, F7, 12) (dual of [5285897, 5285815, 13]-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.