Information on Result #2251048
Linear OA(8157, 177, F8, 104) (dual of [177, 20, 105]-code), using 3 times truncation based on linear OA(8160, 180, F8, 107) (dual of [180, 20, 108]-code), using
- concatenation of two codes [i] based on
- linear OA(6435, 45, F64, 35) (dual of [45, 10, 36]-code or 45-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(82, 4, F8, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,8)), using
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- linear OA(6435, 45, F64, 35) (dual of [45, 10, 36]-code or 45-arc in PG(34,64)), 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 OOA(8157, 59, F8, 3, 104) (dual of [(59, 3), 20, 105]-NRT-code) | [i] | OOA Folding | |