Information on Result #636858
Linear OA(4217, 325, F4, 89) (dual of [325, 108, 90]-code), using concatenation of two codes based on
- linear OA(6429, 65, F64, 29) (dual of [65, 36, 30]-code or 65-arc in PG(28,64)), using
- extended Reed–Solomon code RSe(36,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(4217, 325, F4, 88) (dual of [325, 108, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4218, 326, F4, 89) (dual of [326, 108, 90]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4219, 327, F4, 89) (dual of [327, 108, 90]-code) | [i] | ||
| 4 | Linear OA(4220, 328, F4, 89) (dual of [328, 108, 90]-code) | [i] | ||
| 5 | Linear OA(4221, 329, F4, 89) (dual of [329, 108, 90]-code) | [i] | ||
| 6 | Linear OA(4222, 330, F4, 89) (dual of [330, 108, 90]-code) | [i] | ||
| 7 | Linear OA(4223, 331, F4, 89) (dual of [331, 108, 90]-code) | [i] | ||
| 8 | Linear OA(4216, 324, F4, 88) (dual of [324, 108, 89]-code) | [i] | Truncation | |
| 9 | Linear OA(4215, 323, F4, 87) (dual of [323, 108, 88]-code) | [i] | ||
| 10 | Linear OOA(4217, 162, F4, 2, 89) (dual of [(162, 2), 107, 90]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4217, 108, F4, 3, 89) (dual of [(108, 3), 107, 90]-NRT-code) | [i] | ||