Information on Result #714624
Linear OA(860, 95, F8, 31) (dual of [95, 35, 32]-code), using construction XX applied to C1 = C([54,18]), C2 = C([1,21]), C3 = C1 + C2 = C([1,18]), and C∩ = C1 ∩ C2 = C([54,21]) based on
- linear OA(840, 63, F8, 28) (dual of [63, 23, 29]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−9,−8,…,18}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(834, 63, F8, 21) (dual of [63, 29, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(846, 63, F8, 31) (dual of [63, 17, 32]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−9,−8,…,21}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(828, 63, F8, 18) (dual of [63, 35, 19]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(812, 24, F8, 9) (dual of [24, 12, 10]-code), using
- extended algebraic-geometric code AGe(F,14P) [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,7P) 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,14P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- 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]
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.