Information on Result #728823
Linear OA(32102, 1083, F32, 43) (dual of [1083, 981, 44]-code), using construction XX applied to C1 = C([0,32]), C2 = C([12,42]), C3 = C1 + C2 = C([12,32]), and C∩ = C1 ∩ C2 = C([0,42]) based on
- linear OA(3263, 1023, F32, 33) (dual of [1023, 960, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3261, 1023, F32, 31) (dual of [1023, 962, 32]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {12,13,…,42}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3282, 1023, F32, 43) (dual of [1023, 941, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [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(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(329, 28, F32, 9) (dual of [28, 19, 10]-code or 28-arc in PG(8,32)), using
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), using
- Reed–Solomon code RS(23,32) [i]
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), 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.