MinT - Information on Result #1183769

Information on Result #1183769

Linear OOA(3¹⁷⁴, 2796217, F₃, 15, 12) (dual of [(2796217, 15), 41943081, 13]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(3¹⁷⁴, 5592435, F₃, 3, 12) (dual of [(5592435, 3), 16777131, 13]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3¹², 33, F₃, 3, 6) (dual of [(33, 3), 87, 7]-NRT-code), using
  - extracting embedded OOA [i] based on digital (6, 12, 33)-net over F₃, using
    - linear code embedding found in a computer search [i]
2. linear OOA(3¹⁶², 5592402, F₃, 3, 12) (dual of [(5592402, 3), 16777044, 13]-NRT-code), using
  - trace code [i] based on linear OOA(9⁸¹, 2796201, F₉, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(9⁸¹, large, F₉, 12) (dual of [large, large−81, 13]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 9⁸âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]

Mode: Constructive and linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (162, 174, 2796217)-net over F₃	[i]		Net Defined by OOA