Information on Result #644182
Linear OA(836, 49, F8, 25) (dual of [49, 13, 26]-code), using construction X applied to AG(F,18P) ⊂ AG(F,21P) based on
- linear OA(834, 44, F8, 25) (dual of [44, 10, 26]-code), using algebraic-geometric code AG(F,18P) [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using
- linear OA(831, 44, F8, 22) (dual of [44, 13, 23]-code), using algebraic-geometric code AG(F,21P) [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45 (see above)
- linear OA(82, 5, F8, 2) (dual of [5, 3, 3]-code or 5-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
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2255, 147, F2, 2, 103) (dual of [(147, 2), 39, 104]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 2 | Linear OOA(2255, 98, F2, 3, 103) (dual of [(98, 3), 39, 104]-NRT-code) | [i] | ||