Information on Result #729120
Linear OA(32109, 1069, F32, 49) (dual of [1069, 960, 50]-code), using construction XX applied to C1 = C([1012,32]), C2 = C([1,37]), C3 = C1 + C2 = C([1,32]), and C∩ = C1 ∩ C2 = C([1012,37]) based on
- linear OA(3285, 1023, F32, 44) (dual of [1023, 938, 45]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−11,−10,…,32}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3271, 1023, F32, 37) (dual of [1023, 952, 38]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3294, 1023, F32, 49) (dual of [1023, 929, 50]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−11,−10,…,37}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(3262, 1023, F32, 32) (dual of [1023, 961, 33]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(324, 13, F32, 4) (dual of [13, 9, 5]-code or 13-arc in PG(3,32)), using
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- Reed–Solomon code RS(28,32) [i]
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), 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.