Information on Result #977386
Linear OOA(784, 118, F7, 3, 32) (dual of [(118, 3), 270, 33]-NRT-code), using OOA 3-folding based on linear OA(784, 354, F7, 32) (dual of [354, 270, 33]-code), using
- construction XX applied to C1 = C([341,28]), C2 = C([1,30]), C3 = C1 + C2 = C([1,28]), and C∩ = C1 ∩ C2 = C([341,30]) [i] based on
- linear OA(776, 342, F7, 30) (dual of [342, 266, 31]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−1,0,…,28}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(778, 342, F7, 30) (dual of [342, 264, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(782, 342, F7, 32) (dual of [342, 260, 33]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−1,0,…,30}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(772, 342, F7, 28) (dual of [342, 270, 29]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(71, 5, F7, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code) (see above)
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.