Information on Result #1019168
Linear OOA(12864, 5625424, F128, 3, 10) (dual of [(5625424, 3), 16876208, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12817, 4194301, F128, 3, 5) (dual of [(4194301, 3), 12582886, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(12817, large, F128, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(12817, large, F128, 5) (dual of [large, large−17, 6]-code), using
- linear OOA(12847, 2812712, F128, 3, 10) (dual of [(2812712, 3), 8438089, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12810, 16511, F128, 3, 5) (dual of [(16511, 3), 49523, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(12810, 16512, F128, 2, 5) (dual of [(16512, 2), 33014, 6]-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(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(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, 129, F128, 2, 5) (dual of [(129, 2), 253, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;253,128) [i]
- 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(12810, 16512, F128, 2, 5) (dual of [(16512, 2), 33014, 6]-NRT-code), using
- linear OOA(12837, 2796201, F128, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12837, large, F128, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(12837, large, F128, 10) (dual of [large, large−37, 11]-code), using
- linear OOA(12810, 16511, F128, 3, 5) (dual of [(16511, 3), 49523, 6]-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.