Information on Result #728796
Linear OA(3298, 1071, F32, 43) (dual of [1071, 973, 44]-code), using construction XX applied to C1 = C([1019,32]), C2 = C([8,38]), C3 = C1 + C2 = C([8,32]), and C∩ = C1 ∩ C2 = C([1019,38]) based on
- linear OA(3271, 1023, F32, 37) (dual of [1023, 952, 38]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−4,−3,…,32}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3261, 1023, F32, 31) (dual of [1023, 962, 32]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {8,9,…,38}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3282, 1023, F32, 43) (dual of [1023, 941, 44]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−4,−3,…,38}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3250, 1023, F32, 25) (dual of [1023, 973, 26]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {8,9,…,32}, and designed minimum distance d ≥ |I|+1 = 26 [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(325, 16, F32, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,32)), using
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- Reed–Solomon code RS(27,32) [i]
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), 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.