Information on Result #729209
Linear OA(3284, 1027, F32, 44) (dual of [1027, 943, 45]-code), using construction XX applied to C1 = C([1022,41]), C2 = C([0,42]), C3 = C1 + C2 = C([0,41]), and C∩ = C1 ∩ C2 = C([1022,42]) based on
- linear OA(3282, 1023, F32, 43) (dual of [1023, 941, 44]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,41}, and designed minimum distance d ≥ |I|+1 = 44 [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(3284, 1023, F32, 44) (dual of [1023, 939, 45]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,42}, and designed minimum distance d ≥ |I|+1 = 45 [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(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code) (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 | OA(8140, 1027, S8, 44) | [i] | Discarding Parts of the Base for OAs | |
2 | OA(16105, 1027, S16, 44) | [i] | ||
3 | Linear OA(32110, 1093, F32, 44) (dual of [1093, 983, 45]-code) | [i] | (u, u+v)-Construction | |
4 | Linear OA(3292, 1054, F32, 44) (dual of [1054, 962, 45]-code) | [i] | Varšamov–Edel Lengthening | |
5 | Linear OA(3293, 1077, F32, 44) (dual of [1077, 984, 45]-code) | [i] | ||
6 | Linear OA(3294, 1118, F32, 44) (dual of [1118, 1024, 45]-code) | [i] | ||
7 | Linear OA(3295, 1183, F32, 44) (dual of [1183, 1088, 45]-code) | [i] | ||
8 | Linear OA(3296, 1272, F32, 44) (dual of [1272, 1176, 45]-code) | [i] |