Information on Result #637496
Linear OA(4255, 282, F4, 155) (dual of [282, 27, 156]-code), using concatenation of two codes based on
- linear OA(6438, 47, F64, 38) (dual of [47, 9, 39]-code or 47-arc in PG(37,64)), using
- discarding factors / shortening the dual code based on linear OA(6438, 64, F64, 38) (dual of [64, 26, 39]-code or 64-arc in PG(37,64)), using
- Reed–Solomon code RS(26,64) [i]
- discarding factors / shortening the dual code based on linear OA(6438, 64, F64, 38) (dual of [64, 26, 39]-code or 64-arc in PG(37,64)), 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, 282, F4, 154) (dual of [282, 27, 155]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4255, 282, F4, 153) (dual of [282, 27, 154]-code) | [i] | ||
| 3 | Linear OA(4256, 283, F4, 155) (dual of [283, 27, 156]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4257, 284, F4, 155) (dual of [284, 27, 156]-code) | [i] | ||
| 5 | Linear OA(4254, 281, F4, 154) (dual of [281, 27, 155]-code) | [i] | Truncation | |
| 6 | Linear OA(4253, 280, F4, 153) (dual of [280, 27, 154]-code) | [i] | ||
| 7 | Linear OA(4252, 279, F4, 152) (dual of [279, 27, 153]-code) | [i] | ||
| 8 | Linear OA(4251, 278, F4, 151) (dual of [278, 27, 152]-code) | [i] | ||
| 9 | Linear OA(4250, 277, F4, 150) (dual of [277, 27, 151]-code) | [i] | ||
| 10 | Linear OA(4248, 275, F4, 148) (dual of [275, 27, 149]-code) | [i] | ||
| 11 | Linear OOA(4255, 141, F4, 2, 155) (dual of [(141, 2), 27, 156]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(4255, 94, F4, 3, 155) (dual of [(94, 3), 27, 156]-NRT-code) | [i] | ||