Information on Result #714529
Linear OA(845, 82, F8, 23) (dual of [82, 37, 24]-code), using construction XX applied to C1 = C([60,18]), C2 = C([4,19]), C3 = C1 + C2 = C([4,18]), and C∩ = C1 ∩ C2 = C([60,19]) based on
- linear OA(835, 63, F8, 22) (dual of [63, 28, 23]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−3,−2,…,18}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(828, 63, F8, 16) (dual of [63, 35, 17]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {4,5,…,19}, and designed minimum distance d ≥ |I|+1 = 17 [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 = {−3,−2,…,19}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(826, 63, F8, 15) (dual of [63, 37, 16]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {4,5,…,18}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(88, 17, F8, 6) (dual of [17, 9, 7]-code), using
- extended algebraic-geometric code AGe(F,10P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- linear OA(80, 2, F8, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.