Information on Result #3253916
Digital (107, 123, 66431)-net over F3, using 31 times duplication based on digital (106, 122, 66431)-net over F3, using
- net defined by OOA [i] based on linear OOA(3122, 66431, F3, 16, 16) (dual of [(66431, 16), 1062774, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(3122, 531448, F3, 16) (dual of [531448, 531326, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3122, 531454, F3, 16) (dual of [531454, 531332, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(3121, 531441, F3, 16) (dual of [531441, 531320, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(3109, 531441, F3, 14) (dual of [531441, 531332, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(3122, 531454, F3, 16) (dual of [531454, 531332, 17]-code), using
- OA 8-folding and stacking [i] based on linear OA(3122, 531448, F3, 16) (dual of [531448, 531326, 17]-code), using
Mode: Constructive and 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.