Information on Result #637279
Linear OA(4144, 168, F4, 83) (dual of [168, 24, 84]-code), using concatenation of two codes based on
- linear OA(6420, 28, F64, 20) (dual of [28, 8, 21]-code or 28-arc in PG(19,64)), using
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- Reed–Solomon code RS(44,64) [i]
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), 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(4144, 168, F4, 82) (dual of [168, 24, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4144, 168, F4, 81) (dual of [168, 24, 82]-code) | [i] | ||
| 3 | Linear OA(4145, 169, F4, 83) (dual of [169, 24, 84]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4143, 167, F4, 82) (dual of [167, 24, 83]-code) | [i] | Truncation | |
| 5 | Linear OA(4142, 166, F4, 81) (dual of [166, 24, 82]-code) | [i] | ||
| 6 | Linear OA(4141, 165, F4, 80) (dual of [165, 24, 81]-code) | [i] | ||
| 7 | Linear OA(4140, 164, F4, 79) (dual of [164, 24, 80]-code) | [i] | ||
| 8 | Linear OA(4139, 163, F4, 78) (dual of [163, 24, 79]-code) | [i] | ||
| 9 | Linear OA(4137, 161, F4, 76) (dual of [161, 24, 77]-code) | [i] | ||
| 10 | Linear OOA(4144, 84, F4, 2, 83) (dual of [(84, 2), 24, 84]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4144, 56, F4, 3, 83) (dual of [(56, 3), 24, 84]-NRT-code) | [i] | ||