Information on Result #1190086
Digital (68, 78, 1921604)-net over F7, using net defined by OOA based on linear OOA(778, 1921604, F7, 14, 10) (dual of [(1921604, 14), 26902378, 11]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(778, 5764813, F7, 2, 10) (dual of [(5764813, 2), 11529548, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(778, 5764814, F7, 2, 10) (dual of [(5764814, 2), 11529550, 11]-NRT-code), using
- trace code [i] based on linear OOA(4939, 2882407, F49, 2, 10) (dual of [(2882407, 2), 5764775, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4939, 5764814, F49, 10) (dual of [5764814, 5764775, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(4939, 5764815, F49, 10) (dual of [5764815, 5764776, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(4937, 5764801, F49, 10) (dual of [5764801, 5764764, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(4925, 5764801, F49, 7) (dual of [5764801, 5764776, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(492, 14, F49, 2) (dual of [14, 12, 3]-code or 14-arc in PG(1,49)), using
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- Reed–Solomon code RS(47,49) [i]
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(4939, 5764815, F49, 10) (dual of [5764815, 5764776, 11]-code), using
- OOA 2-folding [i] based on linear OA(4939, 5764814, F49, 10) (dual of [5764814, 5764775, 11]-code), using
- trace code [i] based on linear OOA(4939, 2882407, F49, 2, 10) (dual of [(2882407, 2), 5764775, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(778, 5764814, F7, 2, 10) (dual of [(5764814, 2), 11529550, 11]-NRT-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.