Information on Result #637492
Linear OA(4246, 270, F4, 151) (dual of [270, 24, 152]-code), using concatenation of two codes based on
- linear OA(6437, 45, F64, 37) (dual of [45, 8, 38]-code or 45-arc in PG(36,64)), using
- discarding factors / shortening the dual code based on linear OA(6437, 64, F64, 37) (dual of [64, 27, 38]-code or 64-arc in PG(36,64)), using
- Reed–Solomon code RS(27,64) [i]
- discarding factors / shortening the dual code based on linear OA(6437, 64, F64, 37) (dual of [64, 27, 38]-code or 64-arc in PG(36,64)), 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(4246, 270, F4, 150) (dual of [270, 24, 151]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4246, 270, F4, 149) (dual of [270, 24, 150]-code) | [i] | ||
| 3 | Linear OA(4247, 271, F4, 151) (dual of [271, 24, 152]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4245, 269, F4, 150) (dual of [269, 24, 151]-code) | [i] | Truncation | |
| 5 | Linear OA(4244, 268, F4, 149) (dual of [268, 24, 150]-code) | [i] | ||
| 6 | Linear OA(4243, 267, F4, 148) (dual of [267, 24, 149]-code) | [i] | ||
| 7 | Linear OA(4242, 266, F4, 147) (dual of [266, 24, 148]-code) | [i] | ||
| 8 | Linear OA(4241, 265, F4, 146) (dual of [265, 24, 147]-code) | [i] | ||
| 9 | Linear OA(4239, 263, F4, 144) (dual of [263, 24, 145]-code) | [i] | ||
| 10 | Linear OOA(4246, 135, F4, 2, 151) (dual of [(135, 2), 24, 152]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4246, 90, F4, 3, 151) (dual of [(90, 3), 24, 152]-NRT-code) | [i] | ||