Information on Result #727428
Linear OA(3266, 345, F32, 36) (dual of [345, 279, 37]-code), using construction XX applied to C1 = C([340,33]), C2 = C([0,34]), C3 = C1 + C2 = C([0,33]), and C∩ = C1 ∩ C2 = C([340,34]) based on
- linear OA(3264, 341, F32, 35) (dual of [341, 277, 36]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,33}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3264, 341, F32, 35) (dual of [341, 277, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3266, 341, F32, 36) (dual of [341, 275, 37]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,34}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3262, 341, F32, 34) (dual of [341, 279, 35]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [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(3267, 361, F32, 36) (dual of [361, 294, 37]-code) | [i] | Varšamov–Edel Lengthening | |