Information on Result #728854
Linear OA(3296, 1059, F32, 44) (dual of [1059, 963, 45]-code), using construction XX applied to C1 = C([1014,32]), C2 = C([3,34]), C3 = C1 + C2 = C([3,32]), and C∩ = C1 ∩ C2 = C([1014,34]) based on
- linear OA(3281, 1023, F32, 42) (dual of [1023, 942, 43]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−9,−8,…,32}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3263, 1023, F32, 32) (dual of [1023, 960, 33]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {3,4,…,34}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3284, 1023, F32, 44) (dual of [1023, 939, 45]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−9,−8,…,34}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3260, 1023, F32, 30) (dual of [1023, 963, 31]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {3,4,…,32}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3211, 32, F32, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)), using
- Reed–Solomon code RS(21,32) [i]
- linear OA(321, 4, F32, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 32, F32, 1) (dual of [32, 31, 2]-code), using
- Reed–Solomon code RS(31,32) [i]
- discarding factors / shortening the dual code based on linear OA(321, 32, F32, 1) (dual of [32, 31, 2]-code), 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.