Information on Result #1082363
Linear OOA(8155, 4207620, F81, 4, 9) (dual of [(4207620, 4), 16830425, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8113, 4194301, F81, 4, 4) (dual of [(4194301, 4), 16777191, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(8113, 8388602, F81, 4) (dual of [8388602, 8388589, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(8113, large, F81, 4) (dual of [large, large−13, 5]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(8113, large, F81, 4) (dual of [large, large−13, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(8113, 8388602, F81, 4) (dual of [8388602, 8388589, 5]-code), using
- linear OOA(8142, 2103810, F81, 4, 9) (dual of [(2103810, 4), 8415198, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(819, 6660, F81, 4, 4) (dual of [(6660, 4), 26631, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(819, 6660, F81, 3, 4) (dual of [(6660, 3), 19971, 5]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(810, s, F81, 3, 0) for arbitrarily large s, using
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
- linear OOA(811, 82, F81, 3, 1) (dual of [(82, 3), 245, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(811, s, F81, 3, 1) for arbitrarily large s, using
- appending 2 arbitrary columns [i] based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(811, s, F81, 3, 1) for arbitrarily large s, using
- linear OOA(811, 82, F81, 3, 1) (dual of [(82, 3), 245, 2]-NRT-code) (see above)
- linear OOA(812, 82, F81, 3, 2) (dual of [(82, 3), 244, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;244,81) [i]
- linear OOA(815, 100, F81, 3, 4) (dual of [(100, 3), 295, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,295P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(810, 82, F81, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- appending kth column [i] based on linear OOA(819, 6660, F81, 3, 4) (dual of [(6660, 3), 19971, 5]-NRT-code), using
- linear OOA(8133, 2097150, F81, 4, 9) (dual of [(2097150, 4), 8388567, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8133, 8388600, F81, 9) (dual of [8388600, 8388567, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(8133, large, F81, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8133, large, F81, 9) (dual of [large, large−33, 10]-code), using
- OOA 4-folding [i] based on linear OA(8133, 8388600, F81, 9) (dual of [8388600, 8388567, 10]-code), using
- linear OOA(819, 6660, F81, 4, 4) (dual of [(6660, 4), 26631, 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.