Information on Result #697889
Linear OA(3262, 343, F32, 34) (dual of [343, 281, 35]-code), using construction X applied to Ce(33) ⊂ Ce(32) based on
- linear OA(3262, 342, F32, 34) (dual of [342, 280, 35]-code), using an extension Ce(33) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3261, 342, F32, 33) (dual of [342, 281, 34]-code), using an extension Ce(32) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(320, 1, F32, 0) (dual of [1, 1, 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
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(3263, 344, F32, 34) (dual of [344, 281, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3260, 341, F32, 32) (dual of [341, 281, 33]-code) | [i] | Truncation | |
| 3 | Linear OA(3263, 347, F32, 34) (dual of [347, 284, 35]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(3263, 345, F32, 34) (dual of [345, 282, 35]-code) | [i] | Construction X with Varšamov Bound | |