MinT - Information on Result #1027259

Information on Result #1027259

Linear OOA(4²⁰⁸, 72, F₄, 3, 167) (dual of [(72, 3), 8, 168]-NRT-code), using juxtaposition based on

linear OOA(4⁴⁶, 18, F₄, 3, 39) (dual of [(18, 3), 8, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴⁶, 21, F₄, 3, 39) (dual of [(21, 3), 17, 40]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,23P) [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(4¹⁵⁴, 54, F₄, 3, 127) (dual of [(54, 3), 8, 128]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(4⁷³, 27, F₄, 3, 63) (dual of [(27, 3), 8, 64]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,17P) [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(4²⁰⁸, 72, F₄, 3, 166) (dual of [(72, 3), 8, 167]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4²⁰⁸, 72, F₄, 3, 165) (dual of [(72, 3), 8, 166]-NRT-code)	[i]		Strength Reduction for OOAs