Information on Result #709874
Linear OA(551, 151, F5, 18) (dual of [151, 100, 19]-code), using construction XX applied to C1 = C([119,10]), C2 = C([1,12]), C3 = C1 + C2 = C([1,10]), and C∩ = C1 ∩ C2 = C([119,12]) based on
- linear OA(537, 124, F5, 16) (dual of [124, 87, 17]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,10}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(530, 124, F5, 12) (dual of [124, 94, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(543, 124, F5, 18) (dual of [124, 81, 19]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,12}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(524, 124, F5, 10) (dual of [124, 100, 11]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(57, 20, F5, 5) (dual of [20, 13, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-code), using
- linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-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.