Information on Result #857196
Linear OOA(1644, 46, F16, 2, 26) (dual of [(46, 2), 48, 27]-NRT-code), using OOA 2-folding based on linear OA(1644, 92, F16, 26) (dual of [92, 48, 27]-code), using
- construction XX applied to C1 = C([6,30]), C2 = C([5,28]), C3 = C1 + C2 = C([6,28]), and C∩ = C1 ∩ C2 = C([5,30]) [i] based on
- linear OA(1641, 85, F16, 25) (dual of [85, 44, 26]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {6,7,…,30}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1639, 85, F16, 24) (dual of [85, 46, 25]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {5,6,…,28}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(1643, 85, F16, 26) (dual of [85, 42, 27]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {5,6,…,30}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(1637, 85, F16, 23) (dual of [85, 48, 24]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {6,7,…,28}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(161, 5, F16, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), using
- Reed–Solomon code RS(15,16) [i]
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), using
- linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 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.