MinT - Information on Result #2770660

Information on Result #2770660

Linear OOA(3¹³⁸, 55, F₃, 4, 75) (dual of [(55, 4), 82, 76]-NRT-code), using strength reduction based on linear OOA(3¹³⁸, 55, F₃, 4, 76) (dual of [(55, 4), 82, 77]-NRT-code), using

constructionÂ X applied to AG(4;F,111P) âŠ‚ AG(4;F,127P) [i] based on
1. linear OOA(3¹²¹, 47, F₃, 4, 76) (dual of [(47, 4), 67, 77]-NRT-code), using algebraic-geometric NRT-code AG(4;F,111P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁰⁵, 47, F₃, 4, 60) (dual of [(47, 4), 83, 61]-NRT-code), using algebraic-geometric NRT-code AG(4;F,127P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3¹⁷, 8, F₃, 4, 15) (dual of [(8, 4), 15, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,16P) [i] based on function field F/F₃ with g(F) = 2 and N(F) ≥ 8, 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.