Information on Result #737017
Linear OA(3193, 6617, F3, 34) (dual of [6617, 6424, 35]-code), using construction X applied to Ce(33) ⊂ Ce(25) based on
- linear OA(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3137, 6561, F3, 26) (dual of [6561, 6424, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(316, 56, F3, 7) (dual of [56, 40, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), 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(3195, 6619, F3, 34) (dual of [6619, 6424, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3196, 6620, F3, 34) (dual of [6620, 6424, 35]-code) | [i] | ||
| 3 | Linear OA(3197, 6621, F3, 34) (dual of [6621, 6424, 35]-code) | [i] | ||
| 4 | Linear OA(3192, 6616, F3, 33) (dual of [6616, 6424, 34]-code) | [i] | Truncation | |
| 5 | Linear OOA(3193, 4632, F3, 2, 34) (dual of [(4632, 2), 9071, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(3193, 4632, F3, 3, 34) (dual of [(4632, 3), 13703, 35]-NRT-code) | [i] | ||
| 7 | Linear OOA(3193, 4632, F3, 4, 34) (dual of [(4632, 4), 18335, 35]-NRT-code) | [i] | ||
| 8 | Linear OOA(3193, 4632, F3, 5, 34) (dual of [(4632, 5), 22967, 35]-NRT-code) | [i] | ||
| 9 | Digital (159, 193, 4632)-net over F3 | [i] | ||
| 10 | Linear OA(3196, 6621, F3, 34) (dual of [6621, 6425, 35]-code) | [i] | Construction X with Varšamov Bound | |
| 11 | Linear OA(3197, 6623, F3, 34) (dual of [6623, 6426, 35]-code) | [i] | ||
| 12 | Linear OOA(3193, 3308, F3, 2, 34) (dual of [(3308, 2), 6423, 35]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(3193, 2205, F3, 3, 34) (dual of [(2205, 3), 6422, 35]-NRT-code) | [i] | ||
| 14 | Linear OOA(3193, 1654, F3, 4, 34) (dual of [(1654, 4), 6423, 35]-NRT-code) | [i] | ||
| 15 | Linear OOA(3193, 1323, F3, 5, 34) (dual of [(1323, 5), 6422, 35]-NRT-code) | [i] | ||