Information on Result #700272
Linear OA(25664, 65560, F256, 29) (dual of [65560, 65496, 30]-code), using construction X applied to C([0,14]) ⊂ C([0,10]) based on
- linear OA(25657, 65537, F256, 29) (dual of [65537, 65480, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(25641, 65537, F256, 21) (dual of [65537, 65496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(2567, 23, F256, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,256)), using
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), using
- Reed–Solomon code RS(249,256) [i]
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), 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 | Linear OA(16128, 131120, F16, 29) (dual of [131120, 130992, 30]-code) | [i] | Trace Code | |
| 2 | OA(12874, 65560, S128, 29) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(25664, 32780, F256, 2, 29) (dual of [(32780, 2), 65496, 30]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(25664, 21853, F256, 3, 29) (dual of [(21853, 3), 65495, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(25664, 16390, F256, 4, 29) (dual of [(16390, 4), 65496, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(25664, 13112, F256, 5, 29) (dual of [(13112, 5), 65496, 30]-NRT-code) | [i] | ||