MinT - Information on Result #2763646

Information on Result #2763646

Linear OOA(2¹⁹⁰, 49, F₂, 4, 140) (dual of [(49, 4), 6, 141]-NRT-code), using strength reduction based on linear OOA(2¹⁹⁰, 49, F₂, 4, 141) (dual of [(49, 4), 6, 142]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁰, 9, F₂, 4, 25) (dual of [(9, 4), 6, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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(2¹⁵⁴, 40, F₂, 4, 115) (dual of [(40, 4), 6, 116]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(2³⁴, 10, F₂, 4, 28) (dual of [(10, 4), 6, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;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(2²¹⁴, 55, F₂, 4, 157) (dual of [(55, 4), 6, 158]-NRT-code)	[i]		Juxtaposition for OOAs