Information on Result #1763619
Digital (120, 136, 513353)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3136, 513353, F3, 3, 16) (dual of [(513353, 3), 1539923, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3136, 531451, F3, 3, 16) (dual of [(531451, 3), 1594217, 17]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3135, 531451, F3, 3, 16) (dual of [(531451, 3), 1594218, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3135, 1594353, F3, 16) (dual of [1594353, 1594218, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(3131, 1594323, F3, 16) (dual of [1594323, 1594192, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(34, 30, F3, 2) (dual of [30, 26, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- OOA 3-folding [i] based on linear OA(3135, 1594353, F3, 16) (dual of [1594353, 1594218, 17]-code), using
- 31 times duplication [i] based on linear OOA(3135, 531451, F3, 3, 16) (dual of [(531451, 3), 1594218, 17]-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.