Information on Result #637071
Linear OA(4258, 375, F4, 107) (dual of [375, 117, 108]-code), using concatenation of two codes based on
- linear OA(6436, 75, F64, 35) (dual of [75, 39, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(6436, 79, F64, 35) (dual of [79, 43, 36]-code), using
- algebraic-geometric code AG(F,43P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- discarding factors / shortening the dual code based on linear OA(6436, 79, F64, 35) (dual of [79, 43, 36]-code), 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(4258, 375, F4, 106) (dual of [375, 117, 107]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4259, 376, F4, 107) (dual of [376, 117, 108]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4257, 374, F4, 106) (dual of [374, 117, 107]-code) | [i] | Truncation | |
| 4 | Linear OA(4256, 373, F4, 105) (dual of [373, 117, 106]-code) | [i] | ||
| 5 | Linear OOA(4258, 187, F4, 2, 107) (dual of [(187, 2), 116, 108]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4258, 125, F4, 3, 107) (dual of [(125, 3), 117, 108]-NRT-code) | [i] | ||