MinT - Information on Result #1010907

Information on Result #1010907

Linear OOA(3¹⁹⁹, 2796227, F₃, 3, 18) (dual of [(2796227, 3), 8388482, 19]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3¹⁹, 26, F₃, 3, 9) (dual of [(26, 3), 59, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁶, 14, F₃, 3, 4) (dual of [(14, 3), 36, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (2, 6, 14)-net over F₃, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(3¹³, 13, F₃, 3, 9) (dual of [(13, 3), 26, 10]-NRT-code), using
    - extracting embedded OOA [i] based on digital (4, 13, 13)-net over F₃, using
      - a shift-net [i]
linear OOA(3¹⁸⁰, 2796201, F₃, 3, 18) (dual of [(2796201, 3), 8388423, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3¹⁸⁰, large, F₃, 18) (dual of [large, large−180, 19]-code), using
  - the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3¹⁹⁹, 932075, F₃, 21, 18) (dual of [(932075, 21), 19573376, 19]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row