Information on Result #700323
Linear OA(25619, 65538, F256, 10) (dual of [65538, 65519, 11]-code), using construction X applied to Ce(9) ⊂ Ce(8) based on
- linear OA(25619, 65536, F256, 10) (dual of [65536, 65517, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(25617, 65536, F256, 9) (dual of [65536, 65519, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(1638, 131076, F16, 10) (dual of [131076, 131038, 11]-code) | [i] | Trace Code | |
| 2 | OA(3231, 65538, S32, 10) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6426, 65538, S64, 10) | [i] | ||
| 4 | OA(12822, 65538, S128, 10) | [i] | ||
| 5 | Linear OA(25660, 131076, F256, 21) (dual of [131076, 131016, 22]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25624, 65795, F256, 10) (dual of [65795, 65771, 11]-code) | [i] | ||
| 7 | Linear OA(25625, 65798, F256, 10) (dual of [65798, 65773, 11]-code) | [i] | ||
| 8 | Linear OA(25626, 130819, F256, 10) (dual of [130819, 130793, 11]-code) | [i] | ||
| 9 | Linear OOA(25619, 32769, F256, 2, 10) (dual of [(32769, 2), 65519, 11]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(25619, 21846, F256, 3, 10) (dual of [(21846, 3), 65519, 11]-NRT-code) | [i] | ||