Information on Result #1023016
Linear OOA(25653, 22617, F256, 3, 19) (dual of [(22617, 3), 67798, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25616, 771, F256, 3, 9) (dual of [(771, 3), 2297, 10]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2563, 257, F256, 3, 3) (dual of [(257, 3), 768, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;768,256) [i]
- linear OOA(2564, 257, F256, 3, 4) (dual of [(257, 3), 767, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;767,256) [i]
- linear OOA(2569, 257, F256, 3, 9) (dual of [(257, 3), 762, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;762,256) [i]
- linear OOA(2563, 257, F256, 3, 3) (dual of [(257, 3), 768, 4]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(25637, 21846, F256, 3, 19) (dual of [(21846, 3), 65501, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25637, 65538, F256, 19) (dual of [65538, 65501, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(25637, 65536, F256, 19) (dual of [65536, 65499, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- OOA 3-folding [i] based on linear OA(25637, 65538, F256, 19) (dual of [65538, 65501, 20]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(25653, 11308, F256, 6, 19) (dual of [(11308, 6), 67795, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25653, 7538, F256, 21, 19) (dual of [(7538, 21), 158245, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |