Information on Result #728232
Linear OA(3280, 1069, F32, 34) (dual of [1069, 989, 35]-code), using construction XX applied to C1 = C([6,33]), C2 = C([0,21]), C3 = C1 + C2 = C([6,21]), and C∩ = C1 ∩ C2 = C([0,33]) based on
- linear OA(3255, 1023, F32, 28) (dual of [1023, 968, 29]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {6,7,…,33}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3243, 1023, F32, 22) (dual of [1023, 980, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3264, 1023, F32, 34) (dual of [1023, 959, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3232, 1023, F32, 16) (dual of [1023, 991, 17]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {6,7,…,21}, and designed minimum distance d ≥ |I|+1 = 17 [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, 14, F32, 5) (dual of [14, 9, 6]-code or 14-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.