Information on Result #636753
Linear OA(4129, 165, F4, 65) (dual of [165, 36, 66]-code), using concatenation of two codes based on
- linear OA(6421, 33, F64, 21) (dual of [33, 12, 22]-code or 33-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(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
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(4129, 165, F4, 64) (dual of [165, 36, 65]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4128, 164, F4, 64) (dual of [164, 36, 65]-code) | [i] | Truncation | |
| 3 | Linear OA(4127, 163, F4, 63) (dual of [163, 36, 64]-code) | [i] | ||
| 4 | Linear OOA(4129, 82, F4, 2, 65) (dual of [(82, 2), 35, 66]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4129, 55, F4, 3, 65) (dual of [(55, 3), 36, 66]-NRT-code) | [i] | ||