Information on Result #636843
Linear OA(4206, 305, F4, 86) (dual of [305, 99, 87]-code), using concatenation of two codes based on
- linear OA(6428, 61, F64, 28) (dual of [61, 33, 29]-code or 61-arc in PG(27,64)), using
- discarding factors / shortening the dual code based on linear OA(6428, 64, F64, 28) (dual of [64, 36, 29]-code or 64-arc in PG(27,64)), using
- Reed–Solomon code RS(36,64) [i]
- discarding factors / shortening the dual code based on linear OA(6428, 64, F64, 28) (dual of [64, 36, 29]-code or 64-arc in PG(27,64)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4207, 306, F4, 86) (dual of [306, 99, 87]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4204, 303, F4, 84) (dual of [303, 99, 85]-code) | [i] | Truncation | |
| 3 | Linear OOA(4206, 152, F4, 2, 86) (dual of [(152, 2), 98, 87]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4206, 101, F4, 3, 86) (dual of [(101, 3), 97, 87]-NRT-code) | [i] | ||