MinT - Information on Result #1120886

Information on Result #1120886

Linear OOA(2²⁵⁹, 53, F₂, 5, 205) (dual of [(53, 5), 6, 206]-NRT-code), using juxtaposition based on

linear OOA(2²⁹, 7, F₂, 5, 26) (dual of [(7, 5), 6, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,8P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²²⁴, 46, F₂, 5, 178) (dual of [(46, 5), 6, 179]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²⁴, 6, F₂, 5, 22) (dual of [(6, 5), 6, 23]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,7P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹⁹⁴, 40, F₂, 5, 155) (dual of [(40, 5), 6, 156]-NRT-code), using
    - repeating each code word 4 times [i] based on linear OOA(2⁴⁴, 10, F₂, 5, 38) (dual of [(10, 5), 6, 39]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,11P) [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(2²⁵⁹, 53, F₂, 5, 204) (dual of [(53, 5), 6, 205]-NRT-code)	[i]		Strength Reduction for OOAs