Information on Result #637124
Linear OA(4247, 325, F4, 119) (dual of [325, 78, 120]-code), using concatenation of two codes based on
- linear OA(6439, 65, F64, 39) (dual of [65, 26, 40]-code or 65-arc in PG(38,64)), using
- extended Reed–Solomon code RSe(26,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- 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(4247, 325, F4, 118) (dual of [325, 78, 119]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4247, 325, F4, 117) (dual of [325, 78, 118]-code) | [i] | ||
| 3 | Linear OA(4248, 326, F4, 119) (dual of [326, 78, 120]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4249, 327, F4, 119) (dual of [327, 78, 120]-code) | [i] | ||
| 5 | Linear OA(4250, 328, F4, 119) (dual of [328, 78, 120]-code) | [i] | ||
| 6 | Linear OA(4251, 329, F4, 119) (dual of [329, 78, 120]-code) | [i] | ||
| 7 | Linear OA(4252, 330, F4, 119) (dual of [330, 78, 120]-code) | [i] | ||
| 8 | Linear OA(4253, 331, F4, 119) (dual of [331, 78, 120]-code) | [i] | ||
| 9 | Linear OA(4246, 324, F4, 118) (dual of [324, 78, 119]-code) | [i] | Truncation | |
| 10 | Linear OA(4245, 323, F4, 117) (dual of [323, 78, 118]-code) | [i] | ||
| 11 | Linear OOA(4247, 162, F4, 2, 119) (dual of [(162, 2), 77, 120]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(4247, 108, F4, 3, 119) (dual of [(108, 3), 77, 120]-NRT-code) | [i] | ||