Information on Result #2289944
Linear OA(32108, 1090, F32, 44) (dual of [1090, 982, 45]-code), using 2 times code embedding in larger space based on linear OA(32106, 1088, F32, 44) (dual of [1088, 982, 45]-code), using
- construction XX applied to C1 = C([1,33]), C2 = C([13,44]), C3 = C1 + C2 = C([13,33]), and C∩ = C1 ∩ C2 = C([1,44]) [i] based on
- linear OA(3263, 1023, F32, 33) (dual of [1023, 960, 34]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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 = {13,14,…,44}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3285, 1023, F32, 44) (dual of [1023, 938, 45]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3241, 1023, F32, 21) (dual of [1023, 982, 22]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {13,14,…,33}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3211, 33, F32, 11) (dual of [33, 22, 12]-code or 33-arc in PG(10,32)), using
- extended Reed–Solomon code RSe(22,32) [i]
- the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(3210, 32, F32, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), using
- Reed–Solomon code RS(22,32) [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.