Information on Result #1768981
Digital (187, 213, 162221)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3213, 162221, F3, 3, 26) (dual of [(162221, 3), 486450, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3213, 177161, F3, 3, 26) (dual of [(177161, 3), 531270, 27]-NRT-code), using
- 32 times duplication [i] based on linear OOA(3211, 177161, F3, 3, 26) (dual of [(177161, 3), 531272, 27]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3211, 531483, F3, 26) (dual of [531483, 531272, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(3205, 531441, F3, 26) (dual of [531441, 531236, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(36, 42, F3, 3) (dual of [42, 36, 4]-code or 42-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(3211, 531483, F3, 26) (dual of [531483, 531272, 27]-code), using
- 32 times duplication [i] based on linear OOA(3211, 177161, F3, 3, 26) (dual of [(177161, 3), 531272, 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.