Information on Result #1190516
Digital (84, 98, 823545)-net over F7, using net defined by OOA based on linear OOA(798, 823545, F7, 14, 14) (dual of [(823545, 14), 11529532, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(798, 5764815, F7, 14) (dual of [5764815, 5764717, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(798, 5764818, F7, 14) (dual of [5764818, 5764720, 15]-code), using
- construction X applied to Ce(14) ⊂ Ce(11) [i] based on
- linear OA(797, 5764801, F7, 15) (dual of [5764801, 5764704, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 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(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(14) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(798, 5764818, F7, 14) (dual of [5764818, 5764720, 15]-code), using
Mode: Constructive and 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.