Information on Result #700290
Linear OA(25663, 65538, F256, 32) (dual of [65538, 65475, 33]-code), using construction X applied to Ce(31) ⊂ Ce(30) based on
- linear OA(25663, 65536, F256, 32) (dual of [65536, 65473, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(25661, 65536, F256, 31) (dual of [65536, 65475, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(16126, 131076, F16, 32) (dual of [131076, 130950, 33]-code) | [i] | Trace Code | |
| 2 | OA(32101, 65538, S32, 32) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6484, 65538, S64, 32) | [i] | ||
| 4 | OA(12872, 65538, S128, 32) | [i] | ||
| 5 | Linear OOA(25663, 32769, F256, 2, 32) (dual of [(32769, 2), 65475, 33]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(25663, 21846, F256, 3, 32) (dual of [(21846, 3), 65475, 33]-NRT-code) | [i] | ||
| 7 | Linear OOA(25663, 10923, F256, 6, 32) (dual of [(10923, 6), 65475, 33]-NRT-code) | [i] | ||