Information on Result #637337
Linear OA(4201, 246, F4, 107) (dual of [246, 45, 108]-code), using concatenation of two codes based on
- linear OA(6426, 41, F64, 26) (dual of [41, 15, 27]-code or 41-arc in PG(25,64)), using
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), using
- Reed–Solomon code RS(38,64) [i]
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), 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(4201, 246, F4, 106) (dual of [246, 45, 107]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4201, 246, F4, 105) (dual of [246, 45, 106]-code) | [i] | ||
| 3 | Linear OA(4202, 247, F4, 107) (dual of [247, 45, 108]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4200, 245, F4, 106) (dual of [245, 45, 107]-code) | [i] | Truncation | |
| 5 | Linear OA(4199, 244, F4, 105) (dual of [244, 45, 106]-code) | [i] | ||
| 6 | Linear OA(4198, 243, F4, 104) (dual of [243, 45, 105]-code) | [i] | ||
| 7 | Linear OA(4197, 242, F4, 103) (dual of [242, 45, 104]-code) | [i] | ||
| 8 | Linear OA(4196, 241, F4, 102) (dual of [241, 45, 103]-code) | [i] | ||
| 9 | Linear OA(4194, 239, F4, 100) (dual of [239, 45, 101]-code) | [i] | ||
| 10 | Linear OOA(4201, 123, F4, 2, 107) (dual of [(123, 2), 45, 108]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4201, 82, F4, 3, 107) (dual of [(82, 3), 45, 108]-NRT-code) | [i] | ||