MinT - Information on Result #1120935

Information on Result #1120935

Linear OOA(2¹⁷⁶, 36, F₂, 5, 150) (dual of [(36, 5), 4, 151]-NRT-code), using juxtaposition based on

linear OOA(2²¹, 5, F₂, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁵¹, 31, F₂, 5, 129) (dual of [(31, 5), 4, 130]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²¹, 5, F₂, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code) (see above)
  2. linear OOA(2¹²⁶, 26, F₂, 5, 108) (dual of [(26, 5), 4, 109]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2²¹, 5, F₂, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code) (see above)
      2. linear OOA(2¹⁰¹, 21, F₂, 5, 87) (dual of [(21, 5), 4, 88]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2²¹, 5, F₂, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code) (see above)
        linear OOA(2⁷⁶, 16, F₂, 5, 66) (dual of [(16, 5), 4, 67]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2²¹, 5, F₂, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code) (see above)
        linear OOA(2⁵¹, 11, F₂, 5, 45) (dual of [(11, 5), 4, 46]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2²¹, 5, F₂, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code) (see above)
        linear OOA(2²⁶, 6, F₂, 5, 24) (dual of [(6, 5), 4, 25]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(5;F,5P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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		Method
1	Linear OOA(2¹⁷³, 35, F₂, 5, 147) (dual of [(35, 5), 2, 148]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(2¹⁶⁷, 34, F₂, 5, 141) (dual of [(34, 5), 3, 142]-NRT-code)	[i]
3	Linear OOA(2¹⁶⁶, 34, F₂, 5, 140) (dual of [(34, 5), 4, 141]-NRT-code)	[i]
4	Linear OOA(2¹⁵³, 31, F₂, 5, 127) (dual of [(31, 5), 2, 128]-NRT-code)	[i]
5	Linear OOA(2²⁰¹, 41, F₂, 5, 171) (dual of [(41, 5), 4, 172]-NRT-code)	[i]	Juxtaposition for OOAs