Information on Result #637390
Linear OA(4195, 216, F4, 119) (dual of [216, 21, 120]-code), using concatenation of two codes based on
- linear OA(6429, 36, F64, 29) (dual of [36, 7, 30]-code or 36-arc in PG(28,64)), using
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
- Reed–Solomon code RS(35,64) [i]
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), 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(4195, 216, F4, 118) (dual of [216, 21, 119]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4195, 216, F4, 117) (dual of [216, 21, 118]-code) | [i] | ||
| 3 | Linear OA(4196, 217, F4, 119) (dual of [217, 21, 120]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4194, 215, F4, 118) (dual of [215, 21, 119]-code) | [i] | Truncation | |
| 5 | Linear OA(4193, 214, F4, 117) (dual of [214, 21, 118]-code) | [i] | ||
| 6 | Linear OA(4192, 213, F4, 116) (dual of [213, 21, 117]-code) | [i] | ||
| 7 | Linear OA(4191, 212, F4, 115) (dual of [212, 21, 116]-code) | [i] | ||
| 8 | Linear OA(4190, 211, F4, 114) (dual of [211, 21, 115]-code) | [i] | ||
| 9 | Linear OA(4188, 209, F4, 112) (dual of [209, 21, 113]-code) | [i] | ||
| 10 | Linear OOA(4195, 108, F4, 2, 119) (dual of [(108, 2), 21, 120]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4195, 72, F4, 3, 119) (dual of [(72, 3), 21, 120]-NRT-code) | [i] | ||