MinT - Information on Result #1026442

Information on Result #1026442

Linear OOA(3¹¹⁷, 41, F₃, 3, 91) (dual of [(41, 3), 6, 92]-NRT-code), using juxtaposition based on

linear OOA(3³⁰, 12, F₃, 3, 26) (dual of [(12, 3), 6, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,9P) [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(3⁸¹, 29, F₃, 3, 64) (dual of [(29, 3), 6, 65]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3²⁴, 10, F₃, 3, 21) (dual of [(10, 3), 6, 22]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3⁵¹, 19, F₃, 3, 42) (dual of [(19, 3), 6, 43]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,14P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, 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(3¹¹⁷, 41, F₃, 3, 90) (dual of [(41, 3), 6, 91]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹¹⁷, 41, F₃, 3, 89) (dual of [(41, 3), 6, 90]-NRT-code)	[i]		Strength Reduction for OOAs