MinT - Information on Result #1420145

Information on Result #1420145

Linear OOA(4⁴⁸, 12417, F₄, 2, 9) (dual of [(12417, 2), 24786, 10]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(4⁴⁸, 12417, F₄, 9) (dual of [12417, 12369, 10]-code), using

discarding factors / shortening the dual code based on linear OA(4⁴⁸, 16396, F₄, 9) (dual of [16396, 16348, 10]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(4⁵, 11, F₄, 4) (dual of [11, 6, 5]-code), using
    - quaternary constacyclic codes with minimum distance 5 [i]
  2. linear OA(4⁴³, 16385, F₄, 9) (dual of [16385, 16342, 10]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 16385Â | 4¹⁴âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (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(4⁴⁸, 6208, F₄, 3, 9) (dual of [(6208, 3), 18576, 10]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4⁴⁸, 6208, F₄, 10, 9) (dual of [(6208, 10), 62032, 10]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row