Information on Result #728682
Linear OA(32102, 1087, F32, 42) (dual of [1087, 985, 43]-code), using construction XX applied to C1 = C([12,41]), C2 = C([0,29]), C3 = C1 + C2 = C([12,29]), and C∩ = C1 ∩ C2 = C([0,41]) based on
- linear OA(3259, 1023, F32, 30) (dual of [1023, 964, 31]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {12,13,…,41}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3259, 1023, F32, 30) (dual of [1023, 964, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3280, 1023, F32, 42) (dual of [1023, 943, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [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 = {12,13,…,29}, and designed minimum distance d ≥ |I|+1 = 19 [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(3211, 32, F32, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)) (see above)
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(32102, 543, F32, 2, 42) (dual of [(543, 2), 984, 43]-NRT-code) | [i] | OOA Folding | |