MinT - Information on Result #2766096

Information on Result #2766096

Linear OOA(2²²⁷, 59, F₂, 4, 153) (dual of [(59, 4), 9, 154]-NRT-code), using strength reduction based on linear OOA(2²²⁷, 59, F₂, 4, 155) (dual of [(59, 4), 9, 156]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴⁷, 14, F₂, 4, 36) (dual of [(14, 4), 9, 37]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,19P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁷¹, 45, F₂, 4, 118) (dual of [(45, 4), 9, 119]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁴⁷, 14, F₂, 4, 36) (dual of [(14, 4), 9, 37]-NRT-code) (see above)
    2. linear OOA(2¹¹⁵, 31, F₂, 4, 81) (dual of [(31, 4), 9, 82]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(2⁴⁷, 14, F₂, 4, 36) (dual of [(14, 4), 9, 37]-NRT-code) (see above)
        linear OOA(2⁵⁹, 17, F₂, 4, 44) (dual of [(17, 4), 9, 45]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,23P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, 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.