MinT - Information on Result #910057

Information on Result #910057

Linear OOA(5¹⁰⁰, 52, F₅, 2, 83) (dual of [(52, 2), 4, 84]-NRT-code), using juxtaposition based on

linear OOA(5¹⁶, 10, F₅, 2, 15) (dual of [(10, 2), 4, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₅ with g(F) = 1 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(5⁸⁰, 42, F₅, 2, 67) (dual of [(42, 2), 4, 68]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(5¹⁶, 10, F₅, 2, 15) (dual of [(10, 2), 4, 16]-NRT-code) (see above)
  2. linear OOA(5⁶⁰, 32, F₅, 2, 51) (dual of [(32, 2), 4, 52]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(5²⁸, 16, F₅, 2, 25) (dual of [(16, 2), 4, 26]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,6P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, 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(5¹⁰⁰, 52, F₅, 2, 82) (dual of [(52, 2), 4, 83]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(5¹⁰⁰, 52, F₅, 2, 81) (dual of [(52, 2), 4, 82]-NRT-code)	[i]		Strength Reduction for OOAs