MinT - Information on Result #1235235

Information on Result #1235235

Linear OOA(3¹⁹⁸, 3595113, F₃, 5, 14) (dual of [(3595113, 5), 17975367, 15]-NRT-code), using extracting embedded OOA based on digital (184, 198, 3595113)-net over F₃, using

trace code for nets [i] based on digital (52, 66, 1198371)-net over F₂₇, using
- net defined by OOA [i] based on linear OOA(27⁶⁶, 1198371, F₂₇, 14, 14) (dual of [(1198371, 14), 16777128, 15]-NRT-code), using
  - OA 7-folding and stacking [i] based on linear OA(27⁶⁶, 8388597, F₂₇, 14) (dual of [8388597, 8388531, 15]-code), using
    - discarding factors / shortening the dual code based on linear OA(27⁶⁶, large, F₂₇, 14) (dual of [large, large−66, 15]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 27⁵âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

Mode: Constructive and 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		Method
1	Linear OOA(3²⁰³, 3595114, F₃, 5, 14) (dual of [(3595114, 5), 17975367, 15]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(3¹⁹⁹, 3595113, F₃, 5, 14) (dual of [(3595113, 5), 17975366, 15]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(3²⁰⁰, 3595113, F₃, 5, 14) (dual of [(3595113, 5), 17975365, 15]-NRT-code)	[i]
4	Linear OOA(3²⁰¹, 3595113, F₃, 5, 14) (dual of [(3595113, 5), 17975364, 15]-NRT-code)	[i]
5	Linear OOA(3²⁰², 3595113, F₃, 5, 14) (dual of [(3595113, 5), 17975363, 15]-NRT-code)	[i]