Information on Result #1713848
Digital (136, 153, 265728)-net over F3, using net defined by OOA based on linear OOA(3153, 265728, F3, 20, 17) (dual of [(265728, 20), 5314407, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3153, 531457, F3, 4, 17) (dual of [(531457, 4), 2125675, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3153, 531457, F3, 3, 17) (dual of [(531457, 3), 1594218, 18]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3150, 531456, F3, 3, 17) (dual of [(531456, 3), 1594218, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3150, 1594368, F3, 17) (dual of [1594368, 1594218, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(3144, 1594323, F3, 17) (dual of [1594323, 1594179, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3105, 1594323, F3, 13) (dual of [1594323, 1594218, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(16) ⊂ Ce(12) [i] based on
- OOA 3-folding [i] based on linear OA(3150, 1594368, F3, 17) (dual of [1594368, 1594218, 18]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3150, 531456, F3, 3, 17) (dual of [(531456, 3), 1594218, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3153, 531457, F3, 3, 17) (dual of [(531457, 3), 1594218, 18]-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.