Information on Result #637254
Linear OA(4123, 144, F4, 71) (dual of [144, 21, 72]-code), using concatenation of two codes based on
- linear OA(6417, 24, F64, 17) (dual of [24, 7, 18]-code or 24-arc in PG(16,64)), using
- discarding factors / shortening the dual code based on linear OA(6417, 64, F64, 17) (dual of [64, 47, 18]-code or 64-arc in PG(16,64)), using
- Reed–Solomon code RS(47,64) [i]
- discarding factors / shortening the dual code based on linear OA(6417, 64, F64, 17) (dual of [64, 47, 18]-code or 64-arc in PG(16,64)), 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(4123, 144, F4, 70) (dual of [144, 21, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4123, 144, F4, 69) (dual of [144, 21, 70]-code) | [i] | ||
| 3 | Linear OA(4124, 145, F4, 71) (dual of [145, 21, 72]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4122, 143, F4, 70) (dual of [143, 21, 71]-code) | [i] | Truncation | |
| 5 | Linear OA(4121, 142, F4, 69) (dual of [142, 21, 70]-code) | [i] | ||
| 6 | Linear OA(4120, 141, F4, 68) (dual of [141, 21, 69]-code) | [i] | ||
| 7 | Linear OA(4119, 140, F4, 67) (dual of [140, 21, 68]-code) | [i] | ||
| 8 | Linear OA(4118, 139, F4, 66) (dual of [139, 21, 67]-code) | [i] | ||
| 9 | Linear OA(4116, 137, F4, 64) (dual of [137, 21, 65]-code) | [i] | ||
| 10 | Linear OOA(4123, 72, F4, 2, 71) (dual of [(72, 2), 21, 72]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4123, 48, F4, 3, 71) (dual of [(48, 3), 21, 72]-NRT-code) | [i] | ||