Information on Result #714543
Linear OA(845, 83, F8, 23) (dual of [83, 38, 24]-code), using construction XX applied to C1 = C([61,17]), C2 = C([4,20]), C3 = C1 + C2 = C([4,17]), and C∩ = C1 ∩ C2 = C([61,20]) based on
- linear OA(832, 63, F8, 20) (dual of [63, 31, 21]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−2,−1,…,17}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(830, 63, F8, 17) (dual of [63, 33, 18]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {4,5,…,20}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(837, 63, F8, 23) (dual of [63, 26, 24]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−2,−1,…,20}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(825, 63, F8, 14) (dual of [63, 38, 15]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {4,5,…,17}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(86, 13, F8, 5) (dual of [13, 7, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 14, F8, 5) (dual of [14, 8, 6]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OA(86, 14, F8, 5) (dual of [14, 8, 6]-code), 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.