MinT - Information on Result #1027147

Information on Result #1027147

Linear OOA(4²⁰⁶, 72, F₄, 3, 161) (dual of [(72, 3), 10, 162]-NRT-code), using juxtaposition based on

linear OOA(4⁴⁴, 18, F₄, 3, 37) (dual of [(18, 3), 10, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴⁴, 21, F₄, 3, 37) (dual of [(21, 3), 19, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,25P) [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(4¹⁵², 54, F₄, 3, 123) (dual of [(54, 3), 10, 124]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(4⁷¹, 27, F₄, 3, 61) (dual of [(27, 3), 10, 62]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,19P) [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(4²⁰⁶, 72, F₄, 3, 160) (dual of [(72, 3), 10, 161]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4²⁰⁶, 72, F₄, 3, 159) (dual of [(72, 3), 10, 160]-NRT-code)	[i]		Strength Reduction for OOAs