MinT - Information on Result #1081354

Information on Result #1081354

Linear OOA(3²⁴⁶, 2391517, F₃, 4, 19) (dual of [(2391517, 4), 9565822, 20]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3²⁰, 32, F₃, 4, 9) (dual of [(32, 4), 108, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 20, 32)-net over F₃, using
  - trace code for nets [i] based on digital (1, 10, 16)-net over F₉, using
    - net from sequence [i] based on digital (1, 15)-sequence over F₉, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
        a function field by GarcÃa and Quoos [i]
linear OOA(3²²⁶, 2391485, F₃, 4, 19) (dual of [(2391485, 4), 9565714, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3²²⁶, 4782970, F₃, 2, 19) (dual of [(4782970, 2), 9565714, 20]-NRT-code), using
  - trace code [i] based on linear OOA(9¹¹³, 2391485, F₉, 2, 19) (dual of [(2391485, 2), 4782857, 20]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(9¹¹³, 4782970, F₉, 19) (dual of [4782970, 4782857, 20]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 4782970Â | 9¹⁴âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²⁴⁷, 2391517, F₃, 4, 19) (dual of [(2391517, 4), 9565821, 20]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3²⁴⁵, 2391516, F₃, 4, 18) (dual of [(2391516, 4), 9565819, 19]-NRT-code)	[i]		Truncation for OOAs