MinT - Information on Result #1027320

Information on Result #1027320

Linear OOA(4¹⁷⁰, 59, F₄, 3, 139) (dual of [(59, 3), 7, 140]-NRT-code), using juxtaposition based on

linear OOA(4⁴⁴, 17, F₄, 3, 39) (dual of [(17, 3), 7, 40]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹¹⁹, 42, F₄, 3, 99) (dual of [(42, 3), 7, 100]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(4⁵⁶, 21, F₄, 3, 49) (dual of [(21, 3), 7, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₄ with g(F) = 7 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(4¹⁷⁰, 59, F₄, 3, 138) (dual of [(59, 3), 7, 139]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4¹⁷⁰, 59, F₄, 3, 137) (dual of [(59, 3), 7, 138]-NRT-code)	[i]		Strength Reduction for OOAs