Information on Result #637439
Linear OA(4219, 246, F4, 131) (dual of [246, 27, 132]-code), using concatenation of two codes based on
- linear OA(6432, 41, F64, 32) (dual of [41, 9, 33]-code or 41-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4219, 246, F4, 130) (dual of [246, 27, 131]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4219, 246, F4, 129) (dual of [246, 27, 130]-code) | [i] | ||
| 3 | Linear OA(4220, 247, F4, 131) (dual of [247, 27, 132]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4218, 245, F4, 130) (dual of [245, 27, 131]-code) | [i] | Truncation | |
| 5 | Linear OA(4217, 244, F4, 129) (dual of [244, 27, 130]-code) | [i] | ||
| 6 | Linear OA(4216, 243, F4, 128) (dual of [243, 27, 129]-code) | [i] | ||
| 7 | Linear OA(4215, 242, F4, 127) (dual of [242, 27, 128]-code) | [i] | ||
| 8 | Linear OA(4214, 241, F4, 126) (dual of [241, 27, 127]-code) | [i] | ||
| 9 | Linear OA(4212, 239, F4, 124) (dual of [239, 27, 125]-code) | [i] | ||
| 10 | Linear OOA(4219, 123, F4, 2, 131) (dual of [(123, 2), 27, 132]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4219, 82, F4, 3, 131) (dual of [(82, 3), 27, 132]-NRT-code) | [i] | ||