Information on Result #637336
Linear OA(4204, 252, F4, 107) (dual of [252, 48, 108]-code), using concatenation of two codes based on
- linear OA(6426, 42, F64, 26) (dual of [42, 16, 27]-code or 42-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(4204, 252, F4, 106) (dual of [252, 48, 107]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4204, 252, F4, 105) (dual of [252, 48, 106]-code) | [i] | ||
| 3 | Linear OA(4205, 253, F4, 107) (dual of [253, 48, 108]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4203, 251, F4, 106) (dual of [251, 48, 107]-code) | [i] | Truncation | |
| 5 | Linear OA(4202, 250, F4, 105) (dual of [250, 48, 106]-code) | [i] | ||
| 6 | Linear OA(4201, 249, F4, 104) (dual of [249, 48, 105]-code) | [i] | ||
| 7 | Linear OA(4200, 248, F4, 103) (dual of [248, 48, 104]-code) | [i] | ||
| 8 | Linear OA(4199, 247, F4, 102) (dual of [247, 48, 103]-code) | [i] | ||
| 9 | Linear OA(4206, 255, F4, 107) (dual of [255, 49, 108]-code) | [i] | Construction X with Varšamov Bound | |
| 10 | Linear OOA(4204, 126, F4, 2, 107) (dual of [(126, 2), 48, 108]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4204, 84, F4, 3, 107) (dual of [(84, 3), 48, 108]-NRT-code) | [i] | ||