MinT - Information on Result #2916357

Information on Result #2916357

Linear OOA(2²⁵⁴, 43, F₂, 6, 218) (dual of [(43, 6), 4, 219]-NRT-code), using strength reduction based on linear OOA(2²⁵⁴, 43, F₂, 6, 221) (dual of [(43, 6), 4, 222]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁰, 4, F₂, 6, 19) (dual of [(4, 6), 4, 20]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2²⁰, 5, F₂, 6, 19) (dual of [(5, 6), 10, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(6;F,10P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(2²³⁰, 39, F₂, 6, 201) (dual of [(39, 6), 4, 202]-NRT-code), using
  - 6 step truncation [i] based on linear OOA(2²³⁶, 40, F₂, 6, 207) (dual of [(40, 6), 4, 208]-NRT-code), using
    - repeating each code word 8 times [i] based on linear OOA(2²⁶, 5, F₂, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(6;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5 (see above)

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.