Information on Result #702930
Linear OA(2221, 1074, F2, 42) (dual of [1074, 853, 43]-code), using construction XX applied to C1 = C([983,1022]), C2 = C([989,2]), C3 = C1 + C2 = C([989,1022]), and C∩ = C1 ∩ C2 = C([983,2]) based on
- linear OA(2195, 1023, F2, 40) (dual of [1023, 828, 41]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−40,−39,…,−1}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(2176, 1023, F2, 37) (dual of [1023, 847, 38]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−34,−33,…,2}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(2206, 1023, F2, 43) (dual of [1023, 817, 44]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−40,−39,…,2}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2165, 1023, F2, 34) (dual of [1023, 858, 35]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−34,−33,…,−1}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(211, 36, F2, 4) (dual of [36, 25, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(211, 44, F2, 4) (dual of [44, 33, 5]-code), using
- linear OA(24, 15, F2, 2) (dual of [15, 11, 3]-code), using
- Hamming code H(4,2) [i]
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.