MinT - Information on Result #1604832

Information on Result #1604832

Linear OOA(3¹⁴⁵, 3913446, F₃, 4, 14) (dual of [(3913446, 4), 15653639, 15]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3¹⁴⁵, 3913446, F₃, 2, 14) (dual of [(3913446, 2), 7826747, 15]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁴⁵, 4194310, F₃, 2, 14) (dual of [(4194310, 2), 8388475, 15]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁹, 9, F₃, 2, 7) (dual of [(9, 2), 9, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (2, 9, 9)-net over F₃, using
      - a shift-net [i]
  2. linear OOA(3¹³⁶, 4194301, F₃, 2, 14) (dual of [(4194301, 2), 8388466, 15]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹³⁶, 8388602, F₃, 14) (dual of [8388602, 8388466, 15]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹³⁶, large, F₃, 14) (dual of [large, large−136, 15]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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(3¹⁴⁵, 1956722, F₃, 20, 14) (dual of [(1956722, 20), 39134295, 15]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row