Information on Result #637226
Linear OA(490, 108, F4, 51) (dual of [108, 18, 52]-code), using concatenation of two codes based on
- linear OA(6412, 18, F64, 12) (dual of [18, 6, 13]-code or 18-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(491, 109, F4, 51) (dual of [109, 18, 52]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(489, 107, F4, 50) (dual of [107, 18, 51]-code) | [i] | Truncation | |
| 3 | Linear OA(488, 106, F4, 49) (dual of [106, 18, 50]-code) | [i] | ||
| 4 | Linear OA(487, 105, F4, 48) (dual of [105, 18, 49]-code) | [i] | ||
| 5 | Linear OA(485, 103, F4, 46) (dual of [103, 18, 47]-code) | [i] | ||
| 6 | Linear OA(483, 101, F4, 44) (dual of [101, 18, 45]-code) | [i] | ||
| 7 | Linear OA(492, 111, F4, 51) (dual of [111, 19, 52]-code) | [i] | Construction X with Varšamov Bound | |
| 8 | Linear OOA(490, 54, F4, 2, 51) (dual of [(54, 2), 18, 52]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(490, 36, F4, 3, 51) (dual of [(36, 3), 18, 52]-NRT-code) | [i] | ||