MinT - Information on Result #1117189

Information on Result #1117189

Linear OOA(3¹¹⁹, 1677823, F₃, 5, 11) (dual of [(1677823, 5), 8388996, 12]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3¹³, 103, F₃, 5, 5) (dual of [(103, 5), 502, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(3¹³, 103, F₃, 4, 5) (dual of [(103, 4), 399, 6]-NRT-code), using
  - extracting embedded OOA [i] based on digital (8, 13, 103)-net over F₃, using
    - linear code embedding found in a computer search [i]
linear OOA(3¹⁰⁶, 1677720, F₃, 5, 11) (dual of [(1677720, 5), 8388494, 12]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3¹⁰⁶, 8388600, F₃, 11) (dual of [8388600, 8388494, 12]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹⁰⁶, large, F₃, 11) (dual of [large, large−106, 12]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(3¹²⁰, 1677823, F₃, 5, 11) (dual of [(1677823, 5), 8388995, 12]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(3¹⁶², 3355646, F₃, 5, 11) (dual of [(3355646, 5), 16778068, 12]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Linear OOA(3¹⁸², 5033469, F₃, 5, 11) (dual of [(5033469, 5), 25167163, 12]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
4	Linear OOA(3¹¹⁹, 1677822, F₃, 15, 11) (dual of [(1677822, 15), 25167211, 12]-NRT-code)	[i]	OOA Stacking with Additional Row