Information on Result #727368
Linear OA(3232, 345, F32, 17) (dual of [345, 313, 18]-code), using construction XX applied to C1 = C([340,14]), C2 = C([0,15]), C3 = C1 + C2 = C([0,14]), and C∩ = C1 ∩ C2 = C([340,15]) based on
- linear OA(3230, 341, F32, 16) (dual of [341, 311, 17]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,14}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3230, 341, F32, 16) (dual of [341, 311, 17]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3232, 341, F32, 17) (dual of [341, 309, 18]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,15}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(3228, 341, F32, 15) (dual of [341, 313, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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(3298, 1371, F32, 35) (dual of [1371, 1273, 36]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3296, 1370, F32, 34) (dual of [1370, 1274, 35]-code) | [i] | ||