Information on Result #1305489
Linear OA(3247, 3343, F3, 47) (dual of [3343, 3096, 48]-code), using 52 step Varšamov–Edel lengthening with (ri) = (1, 16 times 0, 1, 34 times 0) based on linear OA(3245, 3289, F3, 47) (dual of [3289, 3044, 48]-code), using
- construction X applied to Ce(46) ⊂ Ce(45) [i] based on
- linear OA(3245, 3281, F3, 47) (dual of [3281, 3036, 48]-code), using an extension Ce(46) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3237, 3281, F3, 46) (dual of [3281, 3044, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 3280 | 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: 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(3247, 3343, F3, 2, 47) (dual of [(3343, 2), 6439, 48]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3247, 3343, F3, 3, 47) (dual of [(3343, 3), 9782, 48]-NRT-code) | [i] | ||
| 3 | Linear OOA(3247, 3343, F3, 4, 47) (dual of [(3343, 4), 13125, 48]-NRT-code) | [i] | ||
| 4 | Linear OOA(3247, 3343, F3, 5, 47) (dual of [(3343, 5), 16468, 48]-NRT-code) | [i] | ||
| 5 | Digital (200, 247, 3343)-net over F3 | [i] | ||
| 6 | Linear OOA(3247, 1671, F3, 2, 47) (dual of [(1671, 2), 3095, 48]-NRT-code) | [i] | OOA Folding | |