Information on Result #644127
Linear OA(827, 31, F8, 22) (dual of [31, 4, 23]-code), using construction X applied to AG(F,0P) ⊂ AG(F,6P) based on
- linear OA(822, 23, F8, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,8)), using algebraic-geometric code AG(F,0P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- linear OA(819, 23, F8, 16) (dual of [23, 4, 17]-code), using algebraic-geometric code AG(F,6P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (see above)
- linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- Reed–Solomon code RS(3,8) [i]
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 OA(8145, 543, F8, 45) (dual of [543, 398, 46]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8142, 543, F8, 44) (dual of [543, 401, 45]-code) | [i] | ||