Information on Result #637429
Linear OA(4249, 306, F4, 131) (dual of [306, 57, 132]-code), using concatenation of two codes based on
- linear OA(6432, 51, F64, 32) (dual of [51, 19, 33]-code or 51-arc in PG(31,64)), using
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), using
- Reed–Solomon code RS(32,64) [i]
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), 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(4249, 306, F4, 130) (dual of [306, 57, 131]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4249, 306, F4, 129) (dual of [306, 57, 130]-code) | [i] | ||
| 3 | Linear OA(4250, 307, F4, 131) (dual of [307, 57, 132]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4248, 305, F4, 130) (dual of [305, 57, 131]-code) | [i] | Truncation | |
| 5 | Linear OA(4247, 304, F4, 129) (dual of [304, 57, 130]-code) | [i] | ||
| 6 | Linear OA(4246, 303, F4, 128) (dual of [303, 57, 129]-code) | [i] | ||
| 7 | Linear OA(4245, 302, F4, 127) (dual of [302, 57, 128]-code) | [i] | ||
| 8 | Linear OA(4244, 301, F4, 126) (dual of [301, 57, 127]-code) | [i] | ||
| 9 | Linear OA(4242, 299, F4, 124) (dual of [299, 57, 125]-code) | [i] | ||
| 10 | Linear OOA(4249, 153, F4, 2, 131) (dual of [(153, 2), 57, 132]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4249, 102, F4, 3, 131) (dual of [(102, 3), 57, 132]-NRT-code) | [i] | ||