MinT - Information on Result #1027517

Information on Result #1027517

Linear OOA(4⁹², 32, F₄, 3, 81) (dual of [(32, 3), 4, 82]-NRT-code), using juxtaposition based on

linear OOA(4²³, 9, F₄, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
  - the Hermitian function field over F₄ [i]
linear OOA(4⁶⁵, 23, F₄, 3, 58) (dual of [(23, 3), 4, 59]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4²³, 9, F₄, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code) (see above)
  2. linear OOA(4³⁸, 14, F₄, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, 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(4⁹¹, 31, F₄, 3, 80) (dual of [(31, 3), 2, 81]-NRT-code)	[i]		Truncation for OOAs
2	Linear OOA(4⁸⁵, 29, F₄, 3, 74) (dual of [(29, 3), 2, 75]-NRT-code)	[i]		Truncation for OOAs