Information on Result #688898
Linear OA(880, 89, F8, 60) (dual of [89, 9, 61]-code), using construction XX applied to Ce(62) ⊂ Ce(45) ⊂ Ce(44) based on
- linear OA(863, 64, F8, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,8)), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(856, 64, F8, 46) (dual of [64, 8, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(855, 64, F8, 45) (dual of [64, 9, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(816, 24, F8, 13) (dual of [24, 8, 14]-code), using
- extended algebraic-geometric code AGe(F,10P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- algebraic-geometric code AG(F,5P) with degPÂ =Â 2 [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,10P) [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.