Information on Result #717695
Linear OA(943, 95, F9, 23) (dual of [95, 52, 24]-code), using construction XX applied to C1 = C([79,20]), C2 = C([5,21]), C3 = C1 + C2 = C([5,20]), and C∩ = C1 ∩ C2 = C([79,21]) based on
- linear OA(935, 80, F9, 22) (dual of [80, 45, 23]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−1,0,…,20}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(930, 80, F9, 17) (dual of [80, 50, 18]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {5,6,…,21}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(937, 80, F9, 23) (dual of [80, 43, 24]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−1,0,…,21}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(928, 80, F9, 16) (dual of [80, 52, 17]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {5,6,…,20}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(96, 13, F9, 5) (dual of [13, 7, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 16, F9, 5) (dual of [16, 10, 6]-code), using
- 4 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- 4 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 16, F9, 5) (dual of [16, 10, 6]-code), using
- linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 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.