Information on Result #639864
Linear OA(8145, 155, F8, 107) (dual of [155, 10, 108]-code), using concatenation of two codes based on
- linear OA(6426, 31, F64, 26) (dual of [31, 5, 27]-code or 31-arc in PG(25,64)), using
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), using
- Reed–Solomon code RS(38,64) [i]
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), using
- linear OA(83, 5, F8, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,8) or 5-cap in PG(2,8)), using
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
- Reed–Solomon code RS(5,8) [i]
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), 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(8145, 155, F8, 106) (dual of [155, 10, 107]-code) | [i] | Strength Reduction | |
2 | Linear OA(8145, 155, F8, 105) (dual of [155, 10, 106]-code) | [i] |