Information on Result #637112
Linear OA(4228, 285, F4, 116) (dual of [285, 57, 117]-code), using concatenation of two codes based on
- linear OA(6438, 57, F64, 38) (dual of [57, 19, 39]-code or 57-arc in PG(37,64)), using
- discarding factors / shortening the dual code based on linear OA(6438, 64, F64, 38) (dual of [64, 26, 39]-code or 64-arc in PG(37,64)), using
- Reed–Solomon code RS(26,64) [i]
- discarding factors / shortening the dual code based on linear OA(6438, 64, F64, 38) (dual of [64, 26, 39]-code or 64-arc in PG(37,64)), 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 OOA(4228, 142, F4, 2, 116) (dual of [(142, 2), 56, 117]-NRT-code) | [i] | OOA Folding | |
2 | Linear OOA(4228, 95, F4, 3, 116) (dual of [(95, 3), 57, 117]-NRT-code) | [i] |