Information on Result #637031
Linear OA(4217, 280, F4, 107) (dual of [280, 63, 108]-code), using concatenation of two codes based on
- linear OA(6435, 56, F64, 35) (dual of [56, 21, 36]-code or 56-arc in PG(34,64)), using
- discarding factors / shortening the dual code based on linear OA(6435, 64, F64, 35) (dual of [64, 29, 36]-code or 64-arc in PG(34,64)), using
- Reed–Solomon code RS(29,64) [i]
- discarding factors / shortening the dual code based on linear OA(6435, 64, F64, 35) (dual of [64, 29, 36]-code or 64-arc in PG(34,64)), 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(4217, 280, F4, 106) (dual of [280, 63, 107]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4218, 281, F4, 107) (dual of [281, 63, 108]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4216, 279, F4, 106) (dual of [279, 63, 107]-code) | [i] | Truncation | |
| 4 | Linear OA(4215, 278, F4, 105) (dual of [278, 63, 106]-code) | [i] | ||
| 5 | Linear OOA(4217, 140, F4, 2, 107) (dual of [(140, 2), 63, 108]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4217, 93, F4, 3, 107) (dual of [(93, 3), 62, 108]-NRT-code) | [i] | ||