Information on Result #2251430
Linear OA(8136, 194, F8, 72) (dual of [194, 58, 73]-code), using 1 times truncation based on linear OA(8137, 195, F8, 73) (dual of [195, 58, 74]-code), using
- concatenation of two codes [i] based on
- linear OA(6436, 65, F64, 36) (dual of [65, 29, 37]-code or 65-arc in PG(35,64)), using
- extended Reed–Solomon code RSe(29,64) [i]
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(6436, 65, F64, 36) (dual of [65, 29, 37]-code or 65-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(8138, 196, F8, 72) (dual of [196, 58, 73]-code) | [i] | Code Embedding in Larger Space | |
2 | Linear OA(8139, 197, F8, 72) (dual of [197, 58, 73]-code) | [i] | ||
3 | Linear OOA(8136, 97, F8, 2, 72) (dual of [(97, 2), 58, 73]-NRT-code) | [i] | OOA Folding |