MinT - Information on Result #909269

Information on Result #909269

Linear OOA(3⁷⁶, 40, F₃, 2, 56) (dual of [(40, 2), 4, 57]-NRT-code), using juxtaposition based on

linear OOA(3¹⁰, 7, F₃, 2, 9) (dual of [(7, 2), 4, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3⁶², 33, F₃, 2, 46) (dual of [(33, 2), 4, 47]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3¹⁰, 7, F₃, 2, 9) (dual of [(7, 2), 4, 10]-NRT-code) (see above)
  2. linear OOA(3⁴⁸, 26, F₃, 2, 36) (dual of [(26, 2), 4, 37]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(3¹⁰, 7, F₃, 2, 9) (dual of [(7, 2), 4, 10]-NRT-code) (see above)
      2. linear OOA(3³⁴, 19, F₃, 2, 26) (dual of [(19, 2), 4, 27]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(3¹⁰, 7, F₃, 2, 9) (dual of [(7, 2), 4, 10]-NRT-code) (see above)
        linear OOA(3²⁰, 12, F₃, 2, 16) (dual of [(12, 2), 4, 17]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,7P) [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(3⁹⁰, 47, F₃, 2, 66) (dual of [(47, 2), 4, 67]-NRT-code)	[i]		Juxtaposition for OOAs