Information on Result #637364
Linear OA(4219, 270, F4, 115) (dual of [270, 51, 116]-code), using concatenation of two codes based on
- linear OA(6428, 45, F64, 28) (dual of [45, 17, 29]-code or 45-arc in PG(27,64)), using
- discarding factors / shortening the dual code based on linear OA(6428, 64, F64, 28) (dual of [64, 36, 29]-code or 64-arc in PG(27,64)), using
- Reed–Solomon code RS(36,64) [i]
- discarding factors / shortening the dual code based on linear OA(6428, 64, F64, 28) (dual of [64, 36, 29]-code or 64-arc in PG(27,64)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4219, 270, F4, 114) (dual of [270, 51, 115]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4220, 271, F4, 115) (dual of [271, 51, 116]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4218, 269, F4, 114) (dual of [269, 51, 115]-code) | [i] | Truncation | |
| 4 | Linear OA(4217, 268, F4, 113) (dual of [268, 51, 114]-code) | [i] | ||
| 5 | Linear OA(4216, 267, F4, 112) (dual of [267, 51, 113]-code) | [i] | ||
| 6 | Linear OA(4215, 266, F4, 111) (dual of [266, 51, 112]-code) | [i] | ||
| 7 | Linear OA(4212, 263, F4, 108) (dual of [263, 51, 109]-code) | [i] | ||
| 8 | Linear OA(4221, 273, F4, 115) (dual of [273, 52, 116]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OOA(4219, 135, F4, 2, 115) (dual of [(135, 2), 51, 116]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(4219, 90, F4, 3, 115) (dual of [(90, 3), 51, 116]-NRT-code) | [i] | ||