MinT - Information on Result #1466337

Information on Result #1466337

Linear OOA(3¹⁰⁵, 4194405, F₃, 2, 10) (dual of [(4194405, 2), 8388705, 11]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3¹⁴, 104, F₃, 2, 5) (dual of [(104, 2), 194, 6]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(3¹⁴, 104, F₃, 5) (dual of [104, 90, 6]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹⁴, 146, F₃, 5) (dual of [146, 132, 6]-code), using
    - trace code [i] based on linear OA(9⁷, 73, F₉, 5) (dual of [73, 66, 6]-code), using
      - a code by Danev and Olsson [i]
linear OOA(3⁹¹, 4194301, F₃, 2, 10) (dual of [(4194301, 2), 8388511, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3⁹¹, 8388602, F₃, 10) (dual of [8388602, 8388511, 11]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁹¹, large, F₃, 10) (dual of [large, large−91, 11]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]

Mode: Linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(3¹⁰⁵, 4194405, F₃, 3, 10) (dual of [(4194405, 3), 12583110, 11]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹⁰⁵, 4194405, F₃, 4, 10) (dual of [(4194405, 4), 16777515, 11]-NRT-code)	[i]
3	Linear OOA(3¹⁰⁵, 4194405, F₃, 5, 10) (dual of [(4194405, 5), 20971920, 11]-NRT-code)	[i]
4	Digital (95, 105, 4194405)-net over F₃	[i]