Information on Result #644186
Linear OA(832, 49, F8, 21) (dual of [49, 17, 22]-code), using construction X applied to AG(F,22P) ⊂ AG(F,25P) based on
- linear OA(830, 44, F8, 21) (dual of [44, 14, 22]-code), using algebraic-geometric code AG(F,22P) [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using
- linear OA(827, 44, F8, 18) (dual of [44, 17, 19]-code), using algebraic-geometric code AG(F,25P) [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(2243, 147, F2, 2, 87) (dual of [(147, 2), 51, 88]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |