MinT - Information on Result #2842468

Information on Result #2842468

Linear OOA(2¹⁷⁵, 37, F₂, 5, 130) (dual of [(37, 5), 10, 131]-NRT-code), using strength reduction based on linear OOA(2¹⁷⁵, 37, F₂, 5, 132) (dual of [(37, 5), 10, 133]-NRT-code), using

juxtaposition [i] based on
1. 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]
2. linear OOA(2⁹⁰, 20, F₂, 5, 71) (dual of [(20, 5), 10, 72]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,28P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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(2²²⁵, 47, F₂, 5, 165) (dual of [(47, 5), 10, 166]-NRT-code)	[i]		Juxtaposition for OOAs