Information on Result #637501
Linear OA(4255, 276, F4, 159) (dual of [276, 21, 160]-code), using concatenation of two codes based on
- linear OA(6439, 46, F64, 39) (dual of [46, 7, 40]-code or 46-arc in PG(38,64)), using
- discarding factors / shortening the dual code based on linear OA(6439, 64, F64, 39) (dual of [64, 25, 40]-code or 64-arc in PG(38,64)), using
- Reed–Solomon code RS(25,64) [i]
- discarding factors / shortening the dual code based on linear OA(6439, 64, F64, 39) (dual of [64, 25, 40]-code or 64-arc in PG(38,64)), using
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), 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(4255, 276, F4, 158) (dual of [276, 21, 159]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4255, 276, F4, 157) (dual of [276, 21, 158]-code) | [i] | ||
| 3 | Linear OA(4256, 277, F4, 159) (dual of [277, 21, 160]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4257, 278, F4, 159) (dual of [278, 21, 160]-code) | [i] | ||
| 5 | Linear OA(4254, 275, F4, 158) (dual of [275, 21, 159]-code) | [i] | Truncation | |
| 6 | Linear OA(4253, 274, F4, 157) (dual of [274, 21, 158]-code) | [i] | ||
| 7 | Linear OA(4252, 273, F4, 156) (dual of [273, 21, 157]-code) | [i] | ||
| 8 | Linear OA(4251, 272, F4, 155) (dual of [272, 21, 156]-code) | [i] | ||
| 9 | Linear OA(4250, 271, F4, 154) (dual of [271, 21, 155]-code) | [i] | ||
| 10 | Linear OA(4248, 269, F4, 152) (dual of [269, 21, 153]-code) | [i] | ||
| 11 | Linear OOA(4255, 138, F4, 2, 159) (dual of [(138, 2), 21, 160]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(4255, 92, F4, 3, 159) (dual of [(92, 3), 21, 160]-NRT-code) | [i] | ||