Information on Result #735918
Linear OA(25663, 66311, F256, 23) (dual of [66311, 66248, 24]-code), using (u, u+v)-construction based on
- linear OA(25618, 773, F256, 11) (dual of [773, 755, 12]-code), using
- construction X applied to C([123,133]) ⊂ C([124,133]) [i] based on
- linear OA(25618, 771, F256, 11) (dual of [771, 753, 12]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {123,124,…,133}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(25616, 771, F256, 10) (dual of [771, 755, 11]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {124,125,…,133}, and designed minimum distance d ≥ |I|+1 = 11 [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 C([123,133]) ⊂ C([124,133]) [i] based on
- linear OA(25645, 65538, F256, 23) (dual of [65538, 65493, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(25645, 65536, F256, 23) (dual of [65536, 65491, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code) (see above)
- construction X applied to Ce(22) ⊂ Ce(21) [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(25663, 33155, F256, 2, 23) (dual of [(33155, 2), 66247, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25663, 22103, F256, 3, 23) (dual of [(22103, 3), 66246, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(25663, 13262, F256, 5, 23) (dual of [(13262, 5), 66247, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(25663, 6028, F256, 23, 23) (dual of [(6028, 23), 138581, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |