Information on Result #700307
Linear OA(25641, 65538, F256, 21) (dual of [65538, 65497, 22]-code), using construction X applied to Ce(20) ⊂ Ce(19) based on
- linear OA(25641, 65536, F256, 21) (dual of [65536, 65495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(1682, 131076, F16, 21) (dual of [131076, 130994, 22]-code) | [i] | Trace Code | |
| 2 | OA(3266, 65538, S32, 21) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6455, 65538, S64, 21) | [i] | ||
| 4 | OA(12847, 65538, S128, 21) | [i] | ||
| 5 | Linear OA(25651, 65795, F256, 21) (dual of [65795, 65744, 22]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25652, 65798, F256, 21) (dual of [65798, 65746, 22]-code) | [i] | ||
| 7 | Linear OA(25653, 65800, F256, 21) (dual of [65800, 65747, 22]-code) | [i] | ||
| 8 | Linear OA(25654, 65802, F256, 21) (dual of [65802, 65748, 22]-code) | [i] | ||
| 9 | Linear OA(25655, 65804, F256, 21) (dual of [65804, 65749, 22]-code) | [i] | ||
| 10 | Linear OA(25656, 66052, F256, 21) (dual of [66052, 65996, 22]-code) | [i] | ||
| 11 | Linear OA(25657, 66309, F256, 21) (dual of [66309, 66252, 22]-code) | [i] | ||
| 12 | Linear OA(25658, 66313, F256, 21) (dual of [66313, 66255, 22]-code) | [i] | ||
| 13 | Linear OA(25659, 66823, F256, 21) (dual of [66823, 66764, 22]-code) | [i] | ||
| 14 | Linear OA(25660, 131076, F256, 21) (dual of [131076, 131016, 22]-code) | [i] | ||
| 15 | Linear OA(25652, 65827, F256, 21) (dual of [65827, 65775, 22]-code) | [i] | ||
| 16 | Linear OOA(25641, 32769, F256, 2, 21) (dual of [(32769, 2), 65497, 22]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(25641, 21846, F256, 3, 21) (dual of [(21846, 3), 65497, 22]-NRT-code) | [i] | ||
| 18 | Linear OOA(25641, 10923, F256, 6, 21) (dual of [(10923, 6), 65497, 22]-NRT-code) | [i] | ||