Information on Result #658916
Linear OA(871, 89, F8, 44) (dual of [89, 18, 45]-code), using construction XX applied to AG(F,18P) ⊂ AG(F,30P) ⊂ AG(F,31P) based on
- linear OA(857, 64, F8, 45) (dual of [64, 7, 46]-code), using algebraic-geometric code AG(F,18P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]
- linear OA(847, 64, F8, 33) (dual of [64, 17, 34]-code), using algebraic-geometric code AG(F,30P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(846, 64, F8, 32) (dual of [64, 18, 33]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(813, 24, F8, 10) (dual of [24, 11, 11]-code), using
- extended algebraic-geometric code AGe(F,13P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric code AGe(F,13P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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
None.