Information on Result #637341
Linear OA(4189, 222, F4, 107) (dual of [222, 33, 108]-code), using concatenation of two codes based on
- linear OA(6426, 37, F64, 26) (dual of [37, 11, 27]-code or 37-arc in PG(25,64)), using
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), using
- Reed–Solomon code RS(38,64) [i]
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), 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(4189, 222, F4, 106) (dual of [222, 33, 107]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4189, 222, F4, 105) (dual of [222, 33, 106]-code) | [i] | ||
| 3 | Linear OA(4190, 223, F4, 107) (dual of [223, 33, 108]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4188, 221, F4, 106) (dual of [221, 33, 107]-code) | [i] | Truncation | |
| 5 | Linear OA(4187, 220, F4, 105) (dual of [220, 33, 106]-code) | [i] | ||
| 6 | Linear OA(4186, 219, F4, 104) (dual of [219, 33, 105]-code) | [i] | ||
| 7 | Linear OA(4185, 218, F4, 103) (dual of [218, 33, 104]-code) | [i] | ||
| 8 | Linear OA(4184, 217, F4, 102) (dual of [217, 33, 103]-code) | [i] | ||
| 9 | Linear OA(4182, 215, F4, 100) (dual of [215, 33, 101]-code) | [i] | ||
| 10 | Linear OOA(4189, 111, F4, 2, 107) (dual of [(111, 2), 33, 108]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4189, 74, F4, 3, 107) (dual of [(74, 3), 33, 108]-NRT-code) | [i] | ||