Information on Result #1203528
Digital (65, 78, 2804456)-net over F128, using net defined by OOA based on linear OOA(12878, 2804456, F128, 15, 13) (dual of [(2804456, 15), 42066762, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12878, 5608913, F128, 3, 13) (dual of [(5608913, 3), 16826661, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12878, 5608914, F128, 3, 13) (dual of [(5608914, 3), 16826664, 14]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(1288, 16512, F128, 3, 4) (dual of [(16512, 3), 49528, 5]-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(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(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(1284, 129, F128, 3, 4) (dual of [(129, 3), 383, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;383,128) [i]
- 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(12821, 2796201, F128, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12821, large, F128, 6) (dual of [large, large−21, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(12821, large, F128, 6) (dual of [large, large−21, 7]-code), using
- 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(1288, 16512, F128, 3, 4) (dual of [(16512, 3), 49528, 5]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(12878, 5608914, F128, 3, 13) (dual of [(5608914, 3), 16826664, 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.