Information on Result #736027
Linear OA(25642, 131076, F256, 15) (dual of [131076, 131034, 16]-code), using (u, u+v)-construction based on
- linear OA(25613, 65538, F256, 7) (dual of [65538, 65525, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(25613, 65536, F256, 7) (dual of [65536, 65523, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(25611, 65536, F256, 6) (dual of [65536, 65525, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(6) ⊂ Ce(5) [i] based on
- linear OA(25629, 65538, F256, 15) (dual of [65538, 65509, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code) (see above)
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
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(25642, 65538, F256, 2, 15) (dual of [(65538, 2), 131034, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25642, 43692, F256, 3, 15) (dual of [(43692, 3), 131034, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(25642, 32769, F256, 4, 15) (dual of [(32769, 4), 131034, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(25642, 26215, F256, 5, 15) (dual of [(26215, 5), 131033, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(25642, 21846, F256, 6, 15) (dual of [(21846, 6), 131034, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(25642, 18725, F256, 15, 15) (dual of [(18725, 15), 280833, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |