Information on Result #700298
Linear OA(25653, 65538, F256, 27) (dual of [65538, 65485, 28]-code), using construction X applied to Ce(26) ⊂ Ce(25) based on
- linear OA(25653, 65536, F256, 27) (dual of [65536, 65483, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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
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 OA(16106, 131076, F16, 27) (dual of [131076, 130970, 28]-code) | [i] | Trace Code | |
| 2 | OA(3285, 65538, S32, 27) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6471, 65538, S64, 27) | [i] | ||
| 4 | OA(12861, 65538, S128, 27) | [i] | ||
| 5 | Linear OA(25666, 65795, F256, 27) (dual of [65795, 65729, 28]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25667, 65798, F256, 27) (dual of [65798, 65731, 28]-code) | [i] | ||
| 7 | Linear OA(25668, 65800, F256, 27) (dual of [65800, 65732, 28]-code) | [i] | ||
| 8 | Linear OOA(25653, 32769, F256, 2, 27) (dual of [(32769, 2), 65485, 28]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(25653, 21846, F256, 3, 27) (dual of [(21846, 3), 65485, 28]-NRT-code) | [i] | ||
| 10 | Linear OOA(25653, 10923, F256, 6, 27) (dual of [(10923, 6), 65485, 28]-NRT-code) | [i] | ||