MinT - Information on Result #1120685

Information on Result #1120685

Linear OOA(2²⁵⁹, 54, F₂, 5, 188) (dual of [(54, 5), 11, 189]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁹, 12, F₂, 5, 40) (dual of [(12, 5), 11, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,19P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁹⁹, 42, F₂, 5, 147) (dual of [(42, 5), 11, 148]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(2⁹⁴, 21, F₂, 5, 73) (dual of [(21, 5), 11, 74]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,31P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, 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(2²⁵⁹, 54, F₂, 5, 187) (dual of [(54, 5), 11, 188]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁵⁹, 54, F₂, 5, 186) (dual of [(54, 5), 11, 187]-NRT-code)	[i]		Strength Reduction for OOAs