Information on Result #1082911
Linear OOA(12850, 4227324, F128, 4, 8) (dual of [(4227324, 4), 16909246, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12813, 4194301, F128, 4, 4) (dual of [(4194301, 4), 16777191, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(12813, 8388602, F128, 4) (dual of [8388602, 8388589, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(12813, large, F128, 4) (dual of [large, large−13, 5]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(12813, large, F128, 4) (dual of [large, large−13, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(12813, 8388602, F128, 4) (dual of [8388602, 8388589, 5]-code), using
- linear OOA(12837, 2113662, F128, 4, 8) (dual of [(2113662, 4), 8454611, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1288, 16512, F128, 4, 4) (dual of [(16512, 4), 66040, 5]-NRT-code), using
- appending kth column [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
- appending kth column [i] based on linear OOA(1288, 16512, F128, 3, 4) (dual of [(16512, 3), 49528, 5]-NRT-code), using
- linear OOA(12829, 2097150, F128, 4, 8) (dual of [(2097150, 4), 8388571, 9]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12829, 8388600, F128, 8) (dual of [8388600, 8388571, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(12829, large, F128, 8) (dual of [large, large−29, 9]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(12829, large, F128, 8) (dual of [large, large−29, 9]-code), using
- OOA 4-folding [i] based on linear OA(12829, 8388600, F128, 8) (dual of [8388600, 8388571, 9]-code), using
- linear OOA(1288, 16512, F128, 4, 4) (dual of [(16512, 4), 66040, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.