MinT - Information on Result #1612696

Information on Result #1612696

Linear OOA(3²⁴⁵, 2796221, F₃, 4, 23) (dual of [(2796221, 4), 11184639, 24]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3²⁴⁵, 2796221, F₃, 3, 23) (dual of [(2796221, 3), 8388418, 24]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3¹⁹, 20, F₃, 3, 11) (dual of [(20, 3), 41, 12]-NRT-code), using
  - extracting embedded OOA [i] based on digital (8, 19, 20)-net over F₃, using
    - 1 times m-reduction [i] based on digital (8, 20, 20)-net over F₃, using
      - a shift-net [i]
2. linear OOA(3²²⁶, 2796201, F₃, 3, 23) (dual of [(2796201, 3), 8388377, 24]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(3²²⁶, large, F₃, 23) (dual of [large, large−226, 24]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,22], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 24 [i]

Mode: Linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²⁴⁵, 932073, F₃, 28, 23) (dual of [(932073, 28), 26097799, 24]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row