Information on Result #637107
Linear OA(4238, 310, F4, 116) (dual of [310, 72, 117]-code), using concatenation of two codes based on
- linear OA(6438, 62, F64, 38) (dual of [62, 24, 39]-code or 62-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 OA(4238, 310, F4, 115) (dual of [310, 72, 116]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4239, 311, F4, 116) (dual of [311, 72, 117]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4237, 309, F4, 115) (dual of [309, 72, 116]-code) | [i] | Truncation | |
| 4 | Linear OA(4236, 308, F4, 114) (dual of [308, 72, 115]-code) | [i] | ||
| 5 | Linear OOA(4238, 155, F4, 2, 116) (dual of [(155, 2), 72, 117]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4238, 103, F4, 3, 116) (dual of [(103, 3), 71, 117]-NRT-code) | [i] | ||