MinT - Information on Result #1120073

Information on Result #1120073

Linear OOA(2²⁵⁵, 52, F₂, 5, 203) (dual of [(52, 5), 5, 204]-NRT-code), using repeating each code word 4 times based on linear OOA(2⁶⁰, 13, F₂, 5, 50) (dual of [(13, 5), 5, 51]-NRT-code), using

strength reduction [i] based on linear OOA(2⁶⁰, 13, F₂, 5, 51) (dual of [(13, 5), 5, 52]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²⁰, 5, F₂, 5, 19) (dual of [(5, 5), 5, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,5P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2³⁵, 8, F₂, 5, 31) (dual of [(8, 5), 5, 32]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,8P) [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		Method
1	Linear OOA(2²⁵⁵, 52, F₂, 5, 202) (dual of [(52, 5), 5, 203]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁵⁵, 52, F₂, 5, 201) (dual of [(52, 5), 5, 202]-NRT-code)	[i]
3	Linear OOA(2²⁵⁵, 52, F₂, 5, 200) (dual of [(52, 5), 5, 201]-NRT-code)	[i]
4	Linear OOA(2²⁵⁵, 52, F₂, 5, 199) (dual of [(52, 5), 5, 200]-NRT-code)	[i]
5	Linear OOA(2²⁵⁵, 52, F₂, 5, 198) (dual of [(52, 5), 5, 199]-NRT-code)	[i]
6	Linear OOA(2²⁵⁵, 52, F₂, 5, 197) (dual of [(52, 5), 5, 198]-NRT-code)	[i]
7	Linear OOA(2²⁵⁵, 52, F₂, 5, 196) (dual of [(52, 5), 5, 197]-NRT-code)	[i]
8	Linear OOA(2²⁵⁵, 52, F₂, 5, 195) (dual of [(52, 5), 5, 196]-NRT-code)	[i]