MinT - Information on Result #1027155

Information on Result #1027155

Linear OOA(4²⁵¹, 87, F₄, 3, 196) (dual of [(87, 3), 10, 197]-NRT-code), using juxtaposition based on

linear OOA(4⁵³, 21, F₄, 3, 46) (dual of [(21, 3), 10, 47]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,16P) [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(4¹⁸⁸, 66, F₄, 3, 149) (dual of [(66, 3), 10, 150]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(4⁸⁹, 33, F₄, 3, 74) (dual of [(33, 3), 10, 75]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, 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(4²⁵¹, 87, F₄, 3, 195) (dual of [(87, 3), 10, 196]-NRT-code)	[i]		Strength Reduction for OOAs