MinT - Information on Result #2760462

Information on Result #2760462

Linear OOA(2¹³⁰, 34, F₂, 4, 93) (dual of [(34, 4), 6, 94]-NRT-code), using strength reduction based on linear OOA(2¹³⁰, 34, F₂, 4, 96) (dual of [(34, 4), 6, 97]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹⁸, 6, F₂, 4, 16) (dual of [(6, 4), 6, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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(2¹⁰⁶, 28, F₂, 4, 79) (dual of [(28, 4), 6, 80]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(2²², 7, F₂, 4, 19) (dual of [(7, 4), 6, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;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]

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(2²¹⁵, 66, F₂, 4, 93) (dual of [(66, 4), 49, 94]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs