Information on Result #637022
Linear OA(4235, 325, F4, 107) (dual of [325, 90, 108]-code), using concatenation of two codes based on
- linear OA(6435, 65, F64, 35) (dual of [65, 30, 36]-code or 65-arc in PG(34,64)), using
- extended Reed–Solomon code RSe(30,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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(4235, 325, F4, 106) (dual of [325, 90, 107]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4235, 325, F4, 105) (dual of [325, 90, 106]-code) | [i] | ||
| 3 | Linear OA(4236, 326, F4, 107) (dual of [326, 90, 108]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4237, 327, F4, 107) (dual of [327, 90, 108]-code) | [i] | ||
| 5 | Linear OA(4238, 328, F4, 107) (dual of [328, 90, 108]-code) | [i] | ||
| 6 | Linear OA(4239, 329, F4, 107) (dual of [329, 90, 108]-code) | [i] | ||
| 7 | Linear OA(4240, 330, F4, 107) (dual of [330, 90, 108]-code) | [i] | ||
| 8 | Linear OA(4241, 331, F4, 107) (dual of [331, 90, 108]-code) | [i] | ||
| 9 | Linear OA(4234, 324, F4, 106) (dual of [324, 90, 107]-code) | [i] | Truncation | |
| 10 | Linear OA(4233, 323, F4, 105) (dual of [323, 90, 106]-code) | [i] | ||
| 11 | Linear OOA(4235, 162, F4, 2, 107) (dual of [(162, 2), 89, 108]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(4235, 108, F4, 3, 107) (dual of [(108, 3), 89, 108]-NRT-code) | [i] | ||