MinT - Information on Result #1027467

Information on Result #1027467

Linear OOA(4¹⁶⁹, 58, F₄, 3, 143) (dual of [(58, 3), 5, 144]-NRT-code), using juxtaposition based on

linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹²⁷, 44, F₄, 3, 108) (dual of [(44, 3), 5, 109]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code) (see above)
  2. linear OOA(4⁸⁵, 30, F₄, 3, 73) (dual of [(30, 3), 5, 74]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(4⁴⁰, 15, F₄, 3, 36) (dual of [(15, 3), 5, 37]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, 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(4²¹¹, 72, F₄, 3, 178) (dual of [(72, 3), 5, 179]-NRT-code)	[i]		Juxtaposition for OOAs