Information on Result #838444
Linear OOA(596, 68, F5, 2, 48) (dual of [(68, 2), 40, 49]-NRT-code), using OOA 2-folding based on linear OA(596, 136, F5, 48) (dual of [136, 40, 49]-code), using
- discarding factors / shortening the dual code based on linear OA(596, 137, F5, 48) (dual of [137, 41, 49]-code), using
- construction XX applied to C1 = C([16,62]), C2 = C([20,63]), C3 = C1 + C2 = C([20,62]), and C∩ = C1 ∩ C2 = C([16,63]) [i] based on
- linear OA(589, 124, F5, 47) (dual of [124, 35, 48]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {16,17,…,62}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(586, 124, F5, 44) (dual of [124, 38, 45]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {20,21,…,63}, and designed minimum distance d ≥ |I|+1 = 45 [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 = {16,17,…,63}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(583, 124, F5, 43) (dual of [124, 41, 44]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {20,21,…,62}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(54, 10, F5, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,5)), 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
- construction XX applied to C1 = C([16,62]), C2 = C([20,63]), C3 = C1 + C2 = C([20,62]), and C∩ = C1 ∩ C2 = C([16,63]) [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.