MinT - Information on Result #1087636

Information on Result #1087636

Linear OOA(3²³⁹, 61, F₃, 4, 202) (dual of [(61, 4), 5, 203]-NRT-code), using juxtaposition based on

linear OOA(3⁴³, 12, F₃, 4, 39) (dual of [(12, 4), 5, 40]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁹¹, 49, F₃, 4, 162) (dual of [(49, 4), 5, 163]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁴³, 12, F₃, 4, 39) (dual of [(12, 4), 5, 40]-NRT-code) (see above)
  2. linear OOA(3¹⁴³, 37, F₃, 4, 122) (dual of [(37, 4), 5, 123]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(3⁴³, 12, F₃, 4, 39) (dual of [(12, 4), 5, 40]-NRT-code) (see above)
      2. linear OOA(3⁹⁵, 25, F₃, 4, 82) (dual of [(25, 4), 5, 83]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(3⁴³, 12, F₃, 4, 39) (dual of [(12, 4), 5, 40]-NRT-code) (see above)
        linear OOA(3⁴⁷, 13, F₃, 4, 42) (dual of [(13, 4), 5, 43]-NRT-code), using
        extracting embedded OOA [i] based on digital (5, 47, 13)-net over F₃, using
        net from sequence [i] based on digital (5, 12)-sequence over F₃, using
        Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 4, N(F)Â =Â 12, and 1 place with degree 2 [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²³¹, 59, F₃, 4, 194) (dual of [(59, 4), 5, 195]-NRT-code)	[i]		Truncation for OOAs