Information on Result #710432
Linear OA(5120, 139, F5, 74) (dual of [139, 19, 75]-code), using construction XX applied to C1 = C([119,67]), C2 = C([1,68]), C3 = C1 + C2 = C([1,67]), and C∩ = C1 ∩ C2 = C([119,68]) based on
- linear OA(5111, 124, F5, 73) (dual of [124, 13, 74]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,67}, and designed minimum distance d ≥ |I|+1 = 74 [i]
- linear OA(5107, 124, F5, 68) (dual of [124, 17, 69]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(5114, 124, F5, 74) (dual of [124, 10, 75]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,68}, and designed minimum distance d ≥ |I|+1 = 75 [i]
- linear OA(5104, 124, F5, 67) (dual of [124, 20, 68]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
- linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,5) [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.