Information on Result #1770673
Digital (206, 232, 418986)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3232, 418986, F3, 3, 26) (dual of [(418986, 3), 1256726, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3232, 531457, F3, 3, 26) (dual of [(531457, 3), 1594139, 27]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3231, 531457, F3, 3, 26) (dual of [(531457, 3), 1594140, 27]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3228, 531456, F3, 3, 26) (dual of [(531456, 3), 1594140, 27]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3228, 1594368, F3, 26) (dual of [1594368, 1594140, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(3222, 1594323, F3, 26) (dual of [1594323, 1594101, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3183, 1594323, F3, 22) (dual of [1594323, 1594140, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(36, 45, F3, 3) (dual of [45, 39, 4]-code or 45-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- OOA 3-folding [i] based on linear OA(3228, 1594368, F3, 26) (dual of [1594368, 1594140, 27]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3228, 531456, F3, 3, 26) (dual of [(531456, 3), 1594140, 27]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3231, 531457, F3, 3, 26) (dual of [(531457, 3), 1594140, 27]-NRT-code), using
Mode: 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
None.