Information on Result #815770
Linear OOA(3217, 9846, F3, 2, 36) (dual of [(9846, 2), 19475, 37]-NRT-code), using OOA 2-folding based on linear OA(3217, 19692, F3, 36) (dual of [19692, 19475, 37]-code), using
- 1 times truncation [i] based on linear OA(3218, 19693, F3, 37) (dual of [19693, 19475, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
- linear OA(3217, 19683, F3, 37) (dual of [19683, 19466, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3208, 19683, F3, 35) (dual of [19683, 19475, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(31, 10, F3, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
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(3217, 8418, F3, 3, 36) (dual of [(8418, 3), 25037, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(3217, 8418, F3, 4, 36) (dual of [(8418, 4), 33455, 37]-NRT-code) | [i] | ||
3 | Linear OOA(3217, 8418, F3, 5, 36) (dual of [(8418, 5), 41873, 37]-NRT-code) | [i] | ||
4 | Digital (181, 217, 8418)-net over F3 | [i] |