Information on Result #728838
Linear OA(32109, 1088, F32, 45) (dual of [1088, 979, 46]-code), using construction XX applied to C1 = C([0,33]), C2 = C([14,44]), C3 = C1 + C2 = C([14,33]), and C∩ = C1 ∩ C2 = C([0,44]) based on
- linear OA(3264, 1023, F32, 34) (dual of [1023, 959, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [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 = {14,15,…,44}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3286, 1023, F32, 45) (dual of [1023, 937, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(3239, 1023, F32, 20) (dual of [1023, 984, 21]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {14,15,…,33}, and designed minimum distance d ≥ |I|+1 = 21 [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(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.