Information on Result #2267157
Linear OA(3250, 6570, F3, 47) (dual of [6570, 6320, 48]-code), using 1 times code embedding in larger space based on linear OA(3249, 6569, F3, 47) (dual of [6569, 6320, 48]-code), using
- construction X applied to Ce(46) ⊂ Ce(45) [i] based on
- linear OA(3249, 6561, F3, 47) (dual of [6561, 6312, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3241, 6561, F3, 46) (dual of [6561, 6320, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(30, 8, F3, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 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 OOA(3250, 3805, F3, 2, 47) (dual of [(3805, 2), 7360, 48]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3250, 3805, F3, 3, 47) (dual of [(3805, 3), 11165, 48]-NRT-code) | [i] | ||
| 3 | Linear OOA(3250, 3805, F3, 4, 47) (dual of [(3805, 4), 14970, 48]-NRT-code) | [i] | ||
| 4 | Linear OOA(3250, 3805, F3, 5, 47) (dual of [(3805, 5), 18775, 48]-NRT-code) | [i] | ||
| 5 | Digital (203, 250, 3805)-net over F3 | [i] | ||
| 6 | Linear OOA(3250, 3285, F3, 2, 47) (dual of [(3285, 2), 6320, 48]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3250, 2190, F3, 3, 47) (dual of [(2190, 3), 6320, 48]-NRT-code) | [i] | ||
| 8 | Linear OOA(3250, 1314, F3, 5, 47) (dual of [(1314, 5), 6320, 48]-NRT-code) | [i] | ||