Information on Result #1712888
Digital (74, 85, 177150)-net over F3, using net defined by OOA based on linear OOA(385, 177150, F3, 15, 11) (dual of [(177150, 15), 2657165, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(385, 177151, F3, 5, 11) (dual of [(177151, 5), 885670, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(385, 177151, F3, 3, 11) (dual of [(177151, 3), 531368, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(385, 531453, F3, 11) (dual of [531453, 531368, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(385, 531441, F3, 11) (dual of [531441, 531356, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(373, 531441, F3, 10) (dual of [531441, 531368, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(30, 12, F3, 0) (dual of [12, 12, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- OOA 3-folding [i] based on linear OA(385, 531453, F3, 11) (dual of [531453, 531368, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(385, 177151, F3, 3, 11) (dual of [(177151, 3), 531368, 12]-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.