Information on Result #710386
Linear OA(5118, 143, F5, 70) (dual of [143, 25, 71]-code), using construction XX applied to C1 = C([118,62]), C2 = C([0,63]), C3 = C1 + C2 = C([0,62]), and C∩ = C1 ∩ C2 = C([118,63]) based on
- linear OA(5108, 124, F5, 69) (dual of [124, 16, 70]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,62}, and designed minimum distance d ≥ |I|+1 = 70 [i]
- linear OA(5102, 124, F5, 64) (dual of [124, 22, 65]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,63], and designed minimum distance d ≥ |I|+1 = 65 [i]
- linear OA(5111, 124, F5, 70) (dual of [124, 13, 71]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,63}, and designed minimum distance d ≥ |I|+1 = 71 [i]
- linear OA(599, 124, F5, 63) (dual of [124, 25, 64]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,62], and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(57, 16, F5, 5) (dual of [16, 9, 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(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.