MinT - Information on Result #2776168

Information on Result #2776168

Linear OOA(3²³⁰, 68, F₃, 4, 138) (dual of [(68, 4), 42, 139]-NRT-code), using strength reduction based on linear OOA(3²³⁰, 68, F₃, 4, 141) (dual of [(68, 4), 42, 142]-NRT-code), using

constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,69P) [i] based on
1. linear OOA(3¹⁴³, 36, F₃, 4, 143) (dual of [(36, 4), 1, 144]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F₃ with g(F) = 28 and N(F) ≥ 37, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁰², 36, F₃, 4, 74) (dual of [(36, 4), 42, 75]-NRT-code), using algebraic-geometric NRT-code AG(4;F,69P) [i] based on function field F/F₃ with g(F) = 28 and N(F) ≥ 37 (see above)
3. linear OOA(3⁸⁷, 32, F₃, 4, 66) (dual of [(32, 4), 41, 67]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,61P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, 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.