MinT - Information on Result #1539685

Information on Result #1539685

Linear OOA(4¹⁷⁸, 135058, F₄, 3, 25) (dual of [(135058, 3), 404996, 26]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(4¹⁷⁸, 135058, F₄, 25) (dual of [135058, 134880, 26]-code), using

discarding factors / shortening the dual code based on linear OA(4¹⁷⁸, 262163, F₄, 25) (dual of [262163, 261985, 26]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(4¹⁵, 18, F₄, 12) (dual of [18, 3, 13]-code), using
    - 3 times truncation [i] based on linear OA(4¹⁸, 21, F₄, 15) (dual of [21, 3, 16]-code), using
      - Simplex code S(3,4) [i]
  2. linear OA(4¹⁶³, 262145, F₄, 25) (dual of [262145, 261982, 26]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 262145Â | 4¹⁸âˆ’1, defining interval IÂ =Â [0,12], and minimum distance dÂ â‰¥ |{−12,−11,…,12}|+1Â =Â 26 (BCH-bound) [i]

Mode: Linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(4¹⁷⁸, 33764, F₄, 27, 25) (dual of [(33764, 27), 911450, 26]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row