Information on Result #2240406
Linear OA(4162, 195, F4, 88) (dual of [195, 33, 89]-code), using 3 times truncation based on linear OA(4165, 198, F4, 91) (dual of [198, 33, 92]-code), using
- concatenation of two codes [i] based on
- linear OA(6422, 33, F64, 22) (dual of [33, 11, 23]-code or 33-arc in PG(21,64)), using
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), using
- Reed–Solomon code RS(42,64) [i]
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), 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
- linear OA(6422, 33, F64, 22) (dual of [33, 11, 23]-code or 33-arc in PG(21,64)), 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(4164, 198, F4, 88) (dual of [198, 34, 89]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(4162, 97, F4, 2, 88) (dual of [(97, 2), 32, 89]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4162, 65, F4, 3, 88) (dual of [(65, 3), 33, 89]-NRT-code) | [i] | ||