MinT - Information on Result #2762055

Information on Result #2762055

Linear OOA(2¹⁶¹, 41, F₂, 4, 137) (dual of [(41, 4), 3, 138]-NRT-code), using strength reduction based on linear OOA(2¹⁶¹, 41, F₂, 4, 138) (dual of [(41, 4), 3, 139]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁹, 3, F₂, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;3,2) [i]
2. linear OOA(2¹⁴⁹, 38, F₂, 4, 128) (dual of [(38, 4), 3, 129]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁹, 3, F₂, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code) (see above)
    2. linear OOA(2¹³⁷, 35, F₂, 4, 118) (dual of [(35, 4), 3, 119]-NRT-code), using
      - repeating each code word 7 times [i] based on linear OOA(2¹⁷, 5, F₂, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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

None.