MinT - Information on Result #2447320

Information on Result #2447320

Linear OOA(5⁹⁶, 50, F₅, 2, 79) (dual of [(50, 2), 4, 80]-NRT-code), using strength reduction based on linear OOA(5⁹⁶, 50, F₅, 2, 80) (dual of [(50, 2), 4, 81]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(5²⁸, 16, F₅, 2, 25) (dual of [(16, 2), 4, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,6P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(5⁶⁴, 34, F₅, 2, 54) (dual of [(34, 2), 4, 55]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(5²⁸, 16, F₅, 2, 25) (dual of [(16, 2), 4, 26]-NRT-code) (see above)
    2. linear OOA(5³², 18, F₅, 2, 28) (dual of [(18, 2), 4, 29]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₅ with g(F) = 4 and N(F) ≥ 18, 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(5¹⁰⁸, 56, F₅, 2, 88) (dual of [(56, 2), 4, 89]-NRT-code)	[i]		Juxtaposition for OOAs