Information on Result #1185344
Digital (213, 239, 367921)-net over F3, using net defined by OOA based on linear OOA(3239, 367921, F3, 26, 26) (dual of [(367921, 26), 9565707, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(3239, 4782973, F3, 26) (dual of [4782973, 4782734, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3239, 4782983, F3, 26) (dual of [4782983, 4782744, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(3239, 4782969, F3, 26) (dual of [4782969, 4782730, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3225, 4782969, F3, 25) (dual of [4782969, 4782744, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(30, 14, F3, 0) (dual of [14, 14, 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
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(3239, 4782983, F3, 26) (dual of [4782983, 4782744, 27]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (214, 240, 367921)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (215, 241, 367921)-net over F3 | [i] | ||