Information on Result #1019134
Linear OOA(12855, 5625466, F128, 3, 9) (dual of [(5625466, 3), 16876343, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12813, 4194301, F128, 3, 4) (dual of [(4194301, 3), 12582890, 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(12842, 2812733, F128, 3, 9) (dual of [(2812733, 3), 8438157, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1289, 16532, F128, 3, 4) (dual of [(16532, 3), 49587, 5]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(1289, 16533, F128, 2, 4) (dual of [(16533, 2), 33057, 5]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1280, s, F128, 2, 0) for arbitrarily large s, using
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1281, 129, F128, 2, 1) (dual of [(129, 2), 257, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1281, s, F128, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [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, 2, 1) for arbitrarily large s, using
- linear OOA(1281, 129, F128, 2, 1) (dual of [(129, 2), 257, 2]-NRT-code) (see above)
- linear OOA(1282, 129, F128, 2, 2) (dual of [(129, 2), 256, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;256,128) [i]
- linear OOA(1285, 150, F128, 2, 4) (dual of [(150, 2), 295, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,295P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(1289, 16533, F128, 2, 4) (dual of [(16533, 2), 33057, 5]-NRT-code), using
- linear OOA(12833, 2796201, F128, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12833, large, F128, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(12833, large, F128, 9) (dual of [large, large−33, 10]-code), using
- linear OOA(1289, 16532, F128, 3, 4) (dual of [(16532, 3), 49587, 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.