Information on Result #700410
Linear OA(25625, 65550, F256, 11) (dual of [65550, 65525, 12]-code), using construction X applied to Ce(10) ⊂ Ce(5) based on
- linear OA(25621, 65536, F256, 11) (dual of [65536, 65515, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(25611, 65536, F256, 6) (dual of [65536, 65525, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(2564, 14, F256, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,256)), using
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- Reed–Solomon code RS(252,256) [i]
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), 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 | OA(12829, 65550, S128, 11) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(25625, 32775, F256, 2, 11) (dual of [(32775, 2), 65525, 12]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(25625, 21850, F256, 3, 11) (dual of [(21850, 3), 65525, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(25625, 13110, F256, 5, 11) (dual of [(13110, 5), 65525, 12]-NRT-code) | [i] | ||