Information on Result #727374
Linear OA(3236, 345, F32, 19) (dual of [345, 309, 20]-code), using construction XX applied to C1 = C([340,16]), C2 = C([0,17]), C3 = C1 + C2 = C([0,16]), and C∩ = C1 ∩ C2 = C([340,17]) based on
- linear OA(3234, 341, F32, 18) (dual of [341, 307, 19]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,16}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3234, 341, F32, 18) (dual of [341, 307, 19]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3236, 341, F32, 19) (dual of [341, 305, 20]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,17}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3232, 341, F32, 17) (dual of [341, 309, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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 | Linear OA(32110, 1372, F32, 39) (dual of [1372, 1262, 40]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(32108, 1372, F32, 38) (dual of [1372, 1264, 39]-code) | [i] | ||