MinT - Information on Result #1025538

Information on Result #1025538

Linear OOA(2²¹⁸, 75, F₂, 3, 133) (dual of [(75, 3), 7, 134]-NRT-code), using juxtaposition based on

linear OOA(2¹⁷, 8, F₂, 3, 13) (dual of [(8, 3), 7, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁹⁴, 67, F₂, 3, 119) (dual of [(67, 3), 7, 120]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁴, 7, F₂, 3, 11) (dual of [(7, 3), 7, 12]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹⁷³, 60, F₂, 3, 107) (dual of [(60, 3), 7, 108]-NRT-code), using
    - repeating each code word 6 times [i] based on linear OOA(2²³, 10, F₂, 3, 17) (dual of [(10, 3), 7, 18]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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(2²⁴², 83, F₂, 3, 147) (dual of [(83, 3), 7, 148]-NRT-code)	[i]		Juxtaposition for OOAs