Information on Result #637438
Linear OA(4222, 252, F4, 131) (dual of [252, 30, 132]-code), using concatenation of two codes based on
- linear OA(6432, 42, F64, 32) (dual of [42, 10, 33]-code or 42-arc in PG(31,64)), using
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), using
- Reed–Solomon code RS(32,64) [i]
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), 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(4222, 252, F4, 130) (dual of [252, 30, 131]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4222, 252, F4, 129) (dual of [252, 30, 130]-code) | [i] | ||
| 3 | Linear OA(4223, 253, F4, 131) (dual of [253, 30, 132]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4221, 251, F4, 130) (dual of [251, 30, 131]-code) | [i] | Truncation | |
| 5 | Linear OA(4220, 250, F4, 129) (dual of [250, 30, 130]-code) | [i] | ||
| 6 | Linear OA(4219, 249, F4, 128) (dual of [249, 30, 129]-code) | [i] | ||
| 7 | Linear OA(4218, 248, F4, 127) (dual of [248, 30, 128]-code) | [i] | ||
| 8 | Linear OA(4217, 247, F4, 126) (dual of [247, 30, 127]-code) | [i] | ||
| 9 | Linear OA(4215, 245, F4, 124) (dual of [245, 30, 125]-code) | [i] | ||
| 10 | Linear OOA(4222, 126, F4, 2, 131) (dual of [(126, 2), 30, 132]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4222, 84, F4, 3, 131) (dual of [(84, 3), 30, 132]-NRT-code) | [i] | ||