Information on Result #2206823
Linear OA(4230, 305, F4, 109) (dual of [305, 75, 110]-code), using strength reduction based on linear OA(4230, 305, F4, 110) (dual of [305, 75, 111]-code), using
- concatenation of two codes [i] based on
- linear OA(6436, 61, F64, 36) (dual of [61, 25, 37]-code or 61-arc in PG(35,64)), using
- discarding factors / shortening the dual code based on linear OA(6436, 64, F64, 36) (dual of [64, 28, 37]-code or 64-arc in PG(35,64)), using
- Reed–Solomon code RS(28,64) [i]
- discarding factors / shortening the dual code based on linear OA(6436, 64, F64, 36) (dual of [64, 28, 37]-code or 64-arc in PG(35,64)), 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]
- linear OA(6436, 61, F64, 36) (dual of [61, 25, 37]-code or 61-arc in PG(35,64)), using
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(4229, 304, F4, 108) (dual of [304, 75, 109]-code) | [i] | Truncation | |