Information on Result #637223
Linear OA(499, 126, F4, 51) (dual of [126, 27, 52]-code), using concatenation of two codes based on
- linear OA(6412, 21, F64, 12) (dual of [21, 9, 13]-code or 21-arc in PG(11,64)), using
- discarding factors / shortening the dual code based on linear OA(6412, 64, F64, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), using
- Reed–Solomon code RS(52,64) [i]
- discarding factors / shortening the dual code based on linear OA(6412, 64, F64, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), 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(499, 126, F4, 50) (dual of [126, 27, 51]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4100, 127, F4, 51) (dual of [127, 27, 52]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(497, 124, F4, 49) (dual of [124, 27, 50]-code) | [i] | Truncation | |
| 4 | Linear OA(496, 123, F4, 48) (dual of [123, 27, 49]-code) | [i] | ||
| 5 | Linear OOA(499, 63, F4, 2, 51) (dual of [(63, 2), 27, 52]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(499, 42, F4, 3, 51) (dual of [(42, 3), 27, 52]-NRT-code) | [i] | ||