Information on Result #714607
Linear OA(861, 94, F8, 31) (dual of [94, 33, 32]-code), using construction XX applied to C1 = C([53,17]), C2 = C([1,20]), C3 = C1 + C2 = C([1,17]), and C∩ = C1 ∩ C2 = C([53,20]) based on
- linear OA(841, 63, F8, 28) (dual of [63, 22, 29]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−10,−9,…,17}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(832, 63, F8, 20) (dual of [63, 31, 21]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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 = {−10,−9,…,20}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(827, 63, F8, 17) (dual of [63, 36, 18]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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(82, 7, F8, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,8)), using
- discarding factors / shortening the dual code based on 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]
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), 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.