Information on Result #728590
Linear OA(3299, 1075, F32, 42) (dual of [1075, 976, 43]-code), using construction XX applied to C1 = C([1021,32]), C2 = C([12,39]), C3 = C1 + C2 = C([12,32]), and C∩ = C1 ∩ C2 = C([1021,39]) based on
- linear OA(3267, 1023, F32, 35) (dual of [1023, 956, 36]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−2,−1,…,32}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- 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 = {12,13,…,39}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3280, 1023, F32, 42) (dual of [1023, 943, 43]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−2,−1,…,39}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3242, 1023, F32, 21) (dual of [1023, 981, 22]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {12,13,…,32}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3213, 33, F32, 13) (dual of [33, 20, 14]-code or 33-arc in PG(12,32)), using
- extended Reed–Solomon code RSe(20,32) [i]
- the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(326, 19, F32, 6) (dual of [19, 13, 7]-code or 19-arc in PG(5,32)), using
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
- Reed–Solomon code RS(26,32) [i]
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), 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.