MinT - Information on Result #2839737

Information on Result #2839737

Linear OOA(2¹²³, 26, F₂, 5, 96) (dual of [(26, 5), 7, 97]-NRT-code), using strength reduction based on linear OOA(2¹²³, 26, F₂, 5, 97) (dual of [(26, 5), 7, 98]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³³, 8, F₂, 5, 29) (dual of [(8, 5), 7, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;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]
2. linear OOA(2⁸³, 18, F₂, 5, 67) (dual of [(18, 5), 7, 68]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2³⁸, 9, F₂, 5, 33) (dual of [(9, 5), 7, 34]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,11P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²⁵³, 52, F₂, 5, 193) (dual of [(52, 5), 7, 194]-NRT-code)	[i]		Repeating Each Code Word for NRT-Codes