MinT - Information on Result #1027411

Information on Result #1027411

Linear OOA(4¹⁸⁹, 65, F₄, 3, 157) (dual of [(65, 3), 6, 158]-NRT-code), using juxtaposition based on

linear OOA(4⁵⁷, 21, F₄, 3, 50) (dual of [(21, 3), 6, 51]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹²⁶, 44, F₄, 3, 106) (dual of [(44, 3), 6, 107]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4⁴⁵, 17, F₄, 3, 40) (dual of [(17, 3), 6, 41]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4⁷⁵, 27, F₄, 3, 65) (dual of [(27, 3), 6, 66]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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(4¹⁸², 62, F₄, 3, 150) (dual of [(62, 3), 4, 151]-NRT-code)	[i]		Truncation for OOAs