MinT - Information on Result #2910693

Information on Result #2910693

Linear OOA(2¹⁸⁰, 31, F₂, 6, 149) (dual of [(31, 6), 6, 150]-NRT-code), using strength reduction based on linear OOA(2¹⁸⁰, 31, F₂, 6, 150) (dual of [(31, 6), 6, 151]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁶, 7, F₂, 6, 33) (dual of [(7, 6), 6, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;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]
2. linear OOA(2¹³⁸, 24, F₂, 6, 116) (dual of [(24, 6), 6, 117]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2⁴², 8, F₂, 6, 38) (dual of [(8, 6), 6, 39]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(6;F,9P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, 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(2²¹⁶, 37, F₂, 6, 178) (dual of [(37, 6), 6, 179]-NRT-code)	[i]		Juxtaposition for OOAs