Information on Result #714885
Linear OA(888, 101, F8, 58) (dual of [101, 13, 59]-code), using construction XX applied to C1 = C([46,35]), C2 = C([0,44]), C3 = C1 + C2 = C([0,35]), and C∩ = C1 ∩ C2 = C([46,44]) based on
- linear OA(859, 63, F8, 53) (dual of [63, 4, 54]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−17,−16,…,35}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(855, 63, F8, 45) (dual of [63, 8, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(862, 63, F8, 62) (dual of [63, 1, 63]-code or 63-arc in PG(61,8)), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−17,−16,…,44}, and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(848, 63, F8, 36) (dual of [63, 15, 37]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(815, 24, F8, 12) (dual of [24, 9, 13]-code), using
- extended algebraic-geometric code AGe(F,11P) [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,11P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(89, 14, F8, 8) (dual of [14, 5, 9]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, 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
None.