MinT - Information on Result #1120169

Information on Result #1120169

Linear OOA(2²⁶⁰, 54, F₂, 5, 189) (dual of [(54, 5), 10, 190]-NRT-code), using repeating each code word 2 times based on linear OOA(2¹²⁵, 27, F₂, 5, 94) (dual of [(27, 5), 10, 95]-NRT-code), using

strength reduction [i] based on linear OOA(2¹²⁵, 27, F₂, 5, 95) (dual of [(27, 5), 10, 96]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁴⁰, 10, F₂, 5, 34) (dual of [(10, 5), 10, 35]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,15P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁷⁵, 17, F₂, 5, 60) (dual of [(17, 5), 10, 61]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,24P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, 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(2²⁶⁰, 54, F₂, 5, 188) (dual of [(54, 5), 10, 189]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁶⁰, 54, F₂, 5, 187) (dual of [(54, 5), 10, 188]-NRT-code)	[i]
3	Linear OOA(2²⁶⁰, 54, F₂, 5, 186) (dual of [(54, 5), 10, 187]-NRT-code)	[i]