Information on Result #700308
Linear OA(25639, 65538, F256, 20) (dual of [65538, 65499, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- 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(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(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(1678, 131076, F16, 20) (dual of [131076, 130998, 21]-code) | [i] | Trace Code | |
| 2 | OA(3263, 65538, S32, 20) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6452, 65538, S64, 20) | [i] | ||
| 4 | OA(12845, 65538, S128, 20) | [i] | ||
| 5 | Linear OA(25649, 65795, F256, 20) (dual of [65795, 65746, 21]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25650, 65798, F256, 20) (dual of [65798, 65748, 21]-code) | [i] | ||
| 7 | Linear OA(25651, 65800, F256, 20) (dual of [65800, 65749, 21]-code) | [i] | ||
| 8 | Linear OA(25652, 65802, F256, 20) (dual of [65802, 65750, 21]-code) | [i] | ||
| 9 | Linear OA(25654, 66052, F256, 20) (dual of [66052, 65998, 21]-code) | [i] | ||
| 10 | Linear OA(25655, 66309, F256, 20) (dual of [66309, 66254, 21]-code) | [i] | ||
| 11 | Linear OA(25656, 66313, F256, 20) (dual of [66313, 66257, 21]-code) | [i] | ||
| 12 | Linear OA(25657, 66823, F256, 20) (dual of [66823, 66766, 21]-code) | [i] | ||
| 13 | Linear OOA(25639, 32769, F256, 2, 20) (dual of [(32769, 2), 65499, 21]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(25639, 21846, F256, 3, 20) (dual of [(21846, 3), 65499, 21]-NRT-code) | [i] | ||
| 15 | Linear OOA(25639, 10923, F256, 6, 20) (dual of [(10923, 6), 65499, 21]-NRT-code) | [i] | ||