Information on Result #1203504
Digital (51, 64, 1406366)-net over F128, using net defined by OOA based on linear OOA(12864, 1406366, F128, 15, 13) (dual of [(1406366, 15), 21095426, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12864, 2812733, F128, 3, 13) (dual of [(2812733, 3), 8438135, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12864, 2812734, F128, 3, 13) (dual of [(2812734, 3), 8438138, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12815, 16533, F128, 3, 6) (dual of [(16533, 3), 49584, 7]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1280, s, F128, 3, 0) for arbitrarily large s, using
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code) (see above)
- linear OOA(1281, 129, F128, 3, 1) (dual of [(129, 3), 386, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1281, s, F128, 3, 1) for arbitrarily large s, using
- appending 2 arbitrary columns [i] based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(1281, s, F128, 3, 1) for arbitrarily large s, using
- linear OOA(1281, 129, F128, 3, 1) (dual of [(129, 3), 386, 2]-NRT-code) (see above)
- linear OOA(1281, 129, F128, 3, 1) (dual of [(129, 3), 386, 2]-NRT-code) (see above)
- linear OOA(1282, 129, F128, 3, 2) (dual of [(129, 3), 385, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;385,128) [i]
- linear OOA(1283, 129, F128, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;384,128) [i]
- linear OOA(1287, 150, F128, 3, 6) (dual of [(150, 3), 443, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,443P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(1280, 129, F128, 3, 0) (dual of [(129, 3), 387, 1]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(12849, 2796201, F128, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-code), using
- linear OOA(12815, 16533, F128, 3, 6) (dual of [(16533, 3), 49584, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(12864, 2812734, F128, 3, 13) (dual of [(2812734, 3), 8438138, 14]-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.