MinT - Information on Result #2774387

Information on Result #2774387

Linear OOA(3²⁰⁵, 59, F₃, 4, 135) (dual of [(59, 4), 31, 136]-NRT-code), using strength reduction based on linear OOA(3²⁰⁵, 59, F₃, 4, 137) (dual of [(59, 4), 31, 138]-NRT-code), using

constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,56P) [i] based on
1. linear OOA(3¹³⁹, 35, F₃, 4, 139) (dual of [(35, 4), 1, 140]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁰⁹, 35, F₃, 4, 83) (dual of [(35, 4), 31, 84]-NRT-code), using algebraic-geometric NRT-code AG(4;F,56P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)
3. linear OOA(3⁶⁶, 24, F₃, 4, 53) (dual of [(24, 4), 30, 54]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,42P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [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.