Information on Result #637385
Linear OA(4210, 246, F4, 119) (dual of [246, 36, 120]-code), using concatenation of two codes based on
- linear OA(6429, 41, F64, 29) (dual of [41, 12, 30]-code or 41-arc in PG(28,64)), using
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
- Reed–Solomon code RS(35,64) [i]
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), 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(4210, 246, F4, 118) (dual of [246, 36, 119]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4210, 246, F4, 117) (dual of [246, 36, 118]-code) | [i] | ||
| 3 | Linear OA(4211, 247, F4, 119) (dual of [247, 36, 120]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4209, 245, F4, 118) (dual of [245, 36, 119]-code) | [i] | Truncation | |
| 5 | Linear OA(4208, 244, F4, 117) (dual of [244, 36, 118]-code) | [i] | ||
| 6 | Linear OA(4207, 243, F4, 116) (dual of [243, 36, 117]-code) | [i] | ||
| 7 | Linear OA(4206, 242, F4, 115) (dual of [242, 36, 116]-code) | [i] | ||
| 8 | Linear OA(4205, 241, F4, 114) (dual of [241, 36, 115]-code) | [i] | ||
| 9 | Linear OA(4203, 239, F4, 112) (dual of [239, 36, 113]-code) | [i] | ||
| 10 | Linear OOA(4210, 123, F4, 2, 119) (dual of [(123, 2), 36, 120]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4210, 82, F4, 3, 119) (dual of [(82, 3), 36, 120]-NRT-code) | [i] | ||