Information on Result #710224
Linear OA(5108, 159, F5, 48) (dual of [159, 51, 49]-code), using construction XX applied to C1 = C([114,36]), C2 = C([0,37]), C3 = C1 + C2 = C([0,36]), and C∩ = C1 ∩ C2 = C([114,37]) based on
- linear OA(589, 124, F5, 47) (dual of [124, 35, 48]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,36}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(574, 124, F5, 38) (dual of [124, 50, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(592, 124, F5, 48) (dual of [124, 32, 49]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,37}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(571, 124, F5, 37) (dual of [124, 53, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(516, 32, F5, 9) (dual of [32, 16, 10]-code), using
- extended quadratic residue code Qe(32,5) [i]
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 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.
Other Results with Identical Parameters
None.
Depending Results
None.