Information on Result #635716
Linear OA(4154, 232, F4, 65) (dual of [232, 78, 66]-code), using concatenation of two codes based on
- linear OA(6432, 58, F64, 32) (dual of [58, 26, 33]-code or 58-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(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(4153, 231, F4, 64) (dual of [231, 78, 65]-code) | [i] | Truncation | |
| 2 | Linear OOA(4154, 116, F4, 2, 65) (dual of [(116, 2), 78, 66]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4154, 77, F4, 3, 65) (dual of [(77, 3), 77, 66]-NRT-code) | [i] | ||