MinT - Information on Result #2609978

Information on Result #2609978

Linear OOA(2⁵¹, 19, F₂, 3, 34) (dual of [(19, 3), 6, 35]-NRT-code), using strength reduction based on linear OOA(2⁵¹, 19, F₂, 3, 35) (dual of [(19, 3), 6, 36]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²¹, 9, F₂, 3, 16) (dual of [(9, 3), 6, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2²⁴, 10, F₂, 3, 18) (dual of [(10, 3), 6, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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(2⁶⁹, 25, F₂, 3, 45) (dual of [(25, 3), 6, 46]-NRT-code)	[i]		Juxtaposition for OOAs