Information on Result #838453
Linear OOA(5109, 82, F5, 2, 48) (dual of [(82, 2), 55, 49]-NRT-code), using OOA 2-folding based on linear OA(5109, 164, F5, 48) (dual of [164, 55, 49]-code), using
- discarding factors / shortening the dual code based on linear OA(5109, 165, F5, 48) (dual of [165, 56, 49]-code), using
- construction XX applied to C1 = C([31,72]), C2 = C([25,64]), C3 = C1 + C2 = C([31,64]), and C∩ = C1 ∩ C2 = C([25,72]) [i] based on
- linear OA(580, 124, F5, 42) (dual of [124, 44, 43]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {31,32,…,72}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(580, 124, F5, 40) (dual of [124, 44, 41]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {25,26,…,64}, and designed minimum distance d ≥ |I|+1 = 41 [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 = {25,26,…,72}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(568, 124, F5, 34) (dual of [124, 56, 35]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {31,32,…,64}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(510, 22, F5, 7) (dual of [22, 12, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(510, 24, F5, 7) (dual of [24, 14, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(510, 24, F5, 7) (dual of [24, 14, 8]-code), using
- linear OA(57, 19, F5, 5) (dual of [19, 12, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-code), using
- construction XX applied to C1 = C([31,72]), C2 = C([25,64]), C3 = C1 + C2 = C([31,64]), and C∩ = C1 ∩ C2 = C([25,72]) [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.