MinT - Information on Result #2842169

Information on Result #2842169

Linear OOA(2¹⁷⁰, 36, F₂, 5, 126) (dual of [(36, 5), 10, 127]-NRT-code), using strength reduction based on linear OOA(2¹⁷⁰, 36, F₂, 5, 127) (dual of [(36, 5), 10, 128]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶⁵, 15, F₂, 5, 52) (dual of [(15, 5), 10, 53]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,22P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁹⁵, 21, F₂, 5, 74) (dual of [(21, 5), 10, 75]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,30P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, 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(2²²⁰, 46, F₂, 5, 161) (dual of [(46, 5), 10, 162]-NRT-code)	[i]		Juxtaposition for OOAs