Information on Result #895190
Linear OOA(3187, 4194345, F3, 2, 17) (dual of [(4194345, 2), 8388503, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(321, 44, F3, 2, 8) (dual of [(44, 2), 67, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(37, 26, F3, 2, 4) (dual of [(26, 2), 45, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 7, 26)-net over F3, using
- linear OOA(314, 22, F3, 2, 8) (dual of [(22, 2), 30, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 14, 22)-net over F3, using
- linear OOA(37, 26, F3, 2, 4) (dual of [(26, 2), 45, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3166, 4194301, F3, 2, 17) (dual of [(4194301, 2), 8388436, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3166, 8388602, F3, 17) (dual of [8388602, 8388436, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- OOA 2-folding [i] based on linear OA(3166, 8388602, F3, 17) (dual of [8388602, 8388436, 18]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3187, 2097172, F3, 4, 17) (dual of [(2097172, 4), 8388501, 18]-NRT-code) | [i] | OOA Folding | |