Information on Result #729404
Linear OA(4928, 105, F49, 18) (dual of [105, 77, 19]-code), using construction XX applied to C1 = C([17,33]), C2 = C([16,31]), C3 = C1 + C2 = C([17,31]), and C∩ = C1 ∩ C2 = C([16,33]) based on
- linear OA(4925, 100, F49, 17) (dual of [100, 75, 18]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {17,18,…,33}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(4925, 100, F49, 16) (dual of [100, 75, 17]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {16,17,…,31}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(4927, 100, F49, 18) (dual of [100, 73, 19]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {16,17,…,33}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(4923, 100, F49, 15) (dual of [100, 77, 16]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {17,18,…,31}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(491, 3, F49, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, 49, F49, 1) (dual of [49, 48, 2]-code), using
- Reed–Solomon code RS(48,49) [i]
- discarding factors / shortening the dual code based on linear OA(491, 49, F49, 1) (dual of [49, 48, 2]-code), using
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 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.