MinT - Information on Result #1081289

Information on Result #1081289

Linear OOA(3¹⁹⁸, 2097478, F₃, 4, 17) (dual of [(2097478, 4), 8389714, 18]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3³², 328, F₃, 4, 8) (dual of [(328, 4), 1280, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (24, 32, 328)-net over F₃, using
  - trace code for nets [i] based on digital (0, 8, 82)-net over F₈₁, using
    - net from sequence [i] based on digital (0, 81)-sequence over F₈₁, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 0 and N(F) ≥ 82, using
        the rational function field F₈₁(x) [i]
      - Niederreiter sequence [i]
linear OOA(3¹⁶⁶, 2097150, F₃, 4, 17) (dual of [(2097150, 4), 8388434, 18]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3¹⁶⁶, 8388600, F₃, 17) (dual of [8388600, 8388434, 18]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹⁶⁶, large, F₃, 17) (dual of [large, large−166, 18]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3¹⁹⁹, 2097478, F₃, 4, 17) (dual of [(2097478, 4), 8389713, 18]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3¹⁹⁸, 1048738, F₃, 20, 17) (dual of [(1048738, 20), 20974562, 18]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row