Information on Result #975250
Linear OOA(5126, 50, F5, 3, 74) (dual of [(50, 3), 24, 75]-NRT-code), using OOA 3-folding based on linear OA(5126, 150, F5, 74) (dual of [150, 24, 75]-code), using
- discarding factors / shortening the dual code based on linear OA(5126, 151, F5, 74) (dual of [151, 25, 75]-code), using
- construction XX applied to C1 = C([118,62]), C2 = C([0,67]), C3 = C1 + C2 = C([0,62]), and C∩ = C1 ∩ C2 = C([118,67]) [i] 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(5105, 124, F5, 68) (dual of [124, 19, 69]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,67], 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 = {−6,−5,…,67}, and designed minimum distance d ≥ |I|+1 = 75 [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(55, 11, F5, 4) (dual of [11, 6, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(55, 12, F5, 4) (dual of [12, 7, 5]-code), using
- construction XX applied to C1 = C([118,62]), C2 = C([0,67]), C3 = C1 + C2 = C([0,62]), and C∩ = C1 ∩ C2 = C([118,67]) [i] based on
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.