Information on Result #700316
Linear OA(25629, 65538, F256, 15) (dual of [65538, 65509, 16]-code), using construction X applied to Ce(14) ⊂ Ce(13) 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), 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(1658, 131076, F16, 15) (dual of [131076, 131018, 16]-code) | [i] | Trace Code | |
| 2 | OA(3247, 65538, S32, 15) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6439, 65538, S64, 15) | [i] | ||
| 4 | OA(12834, 65538, S128, 15) | [i] | ||
| 5 | Linear OA(25636, 65795, F256, 15) (dual of [65795, 65759, 16]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25637, 65798, F256, 15) (dual of [65798, 65761, 16]-code) | [i] | ||
| 7 | Linear OA(25638, 65800, F256, 15) (dual of [65800, 65762, 16]-code) | [i] | ||
| 8 | Linear OA(25639, 66052, F256, 15) (dual of [66052, 66013, 16]-code) | [i] | ||
| 9 | Linear OA(25640, 66309, F256, 15) (dual of [66309, 66269, 16]-code) | [i] | ||
| 10 | Linear OA(25641, 66823, F256, 15) (dual of [66823, 66782, 16]-code) | [i] | ||
| 11 | Linear OA(25642, 131076, F256, 15) (dual of [131076, 131034, 16]-code) | [i] | ||
| 12 | Linear OA(25637, 65827, F256, 15) (dual of [65827, 65790, 16]-code) | [i] | ||
| 13 | Linear OOA(25629, 32769, F256, 2, 15) (dual of [(32769, 2), 65509, 16]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(25629, 21846, F256, 3, 15) (dual of [(21846, 3), 65509, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(25629, 10923, F256, 6, 15) (dual of [(10923, 6), 65509, 16]-NRT-code) | [i] | ||