Information on Result #637281
Linear OA(4174, 222, F4, 87) (dual of [222, 48, 88]-code), using concatenation of two codes based on
- linear OA(6421, 37, F64, 21) (dual of [37, 16, 22]-code or 37-arc in PG(20,64)), using
- discarding factors / shortening the dual code based on linear OA(6421, 64, F64, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
- Reed–Solomon code RS(43,64) [i]
- discarding factors / shortening the dual code based on linear OA(6421, 64, F64, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), 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(4173, 221, F4, 86) (dual of [221, 48, 87]-code) | [i] | Truncation | |
| 2 | Linear OA(4171, 219, F4, 84) (dual of [219, 48, 85]-code) | [i] | ||
| 3 | Linear OOA(4174, 111, F4, 2, 87) (dual of [(111, 2), 48, 88]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4174, 74, F4, 3, 87) (dual of [(74, 3), 48, 88]-NRT-code) | [i] | ||