Information on Result #637422
Linear OA(4216, 246, F4, 127) (dual of [246, 30, 128]-code), using concatenation of two codes based on
- linear OA(6431, 41, F64, 31) (dual of [41, 10, 32]-code or 41-arc in PG(30,64)), using
- discarding factors / shortening the dual code based on linear OA(6431, 64, F64, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), using
- Reed–Solomon code RS(33,64) [i]
- discarding factors / shortening the dual code based on linear OA(6431, 64, F64, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), 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(4216, 246, F4, 126) (dual of [246, 30, 127]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4216, 246, F4, 125) (dual of [246, 30, 126]-code) | [i] | ||
| 3 | Linear OA(4217, 247, F4, 127) (dual of [247, 30, 128]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4215, 245, F4, 126) (dual of [245, 30, 127]-code) | [i] | Truncation | |
| 5 | Linear OA(4214, 244, F4, 125) (dual of [244, 30, 126]-code) | [i] | ||
| 6 | Linear OA(4213, 243, F4, 124) (dual of [243, 30, 125]-code) | [i] | ||
| 7 | Linear OA(4212, 242, F4, 123) (dual of [242, 30, 124]-code) | [i] | ||
| 8 | Linear OA(4211, 241, F4, 122) (dual of [241, 30, 123]-code) | [i] | ||
| 9 | Linear OA(4209, 239, F4, 120) (dual of [239, 30, 121]-code) | [i] | ||
| 10 | Linear OOA(4216, 123, F4, 2, 127) (dual of [(123, 2), 30, 128]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4216, 82, F4, 3, 127) (dual of [(82, 3), 30, 128]-NRT-code) | [i] | ||