Information on Result #1714072
Digital (157, 175, 797169)-net over F3, using net defined by OOA based on linear OOA(3175, 797169, F3, 25, 18) (dual of [(797169, 25), 19929050, 19]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3175, 1594339, F3, 5, 18) (dual of [(1594339, 5), 7971520, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3175, 1594339, F3, 3, 18) (dual of [(1594339, 3), 4782842, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3175, 4783017, F3, 18) (dual of [4783017, 4782842, 19]-code), using
- construction X applied to Ce(18) ⊂ Ce(13) [i] based on
- linear OA(3169, 4782969, F3, 19) (dual of [4782969, 4782800, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3127, 4782969, F3, 14) (dual of [4782969, 4782842, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- 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(18) ⊂ Ce(13) [i] based on
- OOA 3-folding [i] based on linear OA(3175, 4783017, F3, 18) (dual of [4783017, 4782842, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3175, 1594339, F3, 3, 18) (dual of [(1594339, 3), 4782842, 19]-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.