Information on Result #728178
Linear OA(3274, 1059, F32, 32) (dual of [1059, 985, 33]-code), using construction XX applied to C1 = C([3,32]), C2 = C([1,20]), C3 = C1 + C2 = C([3,20]), and C∩ = C1 ∩ C2 = C([1,32]) based on
- 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(3240, 1023, F32, 20) (dual of [1023, 983, 21]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(3236, 1023, F32, 18) (dual of [1023, 987, 19]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {3,4,…,20}, and designed minimum distance d ≥ |I|+1 = 19 [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(321, 3, F32, 1) (dual of [3, 2, 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.