MinT - Information on Result #2761057

Information on Result #2761057

Linear OOA(2¹⁴², 44, F₂, 4, 81) (dual of [(44, 4), 34, 82]-NRT-code), using strength reduction based on linear OOA(2¹⁴², 44, F₂, 4, 82) (dual of [(44, 4), 34, 83]-NRT-code), using

constructionÂ X applied to AG(4;F,81P) âŠ‚ AG(4;F,88P) [i] based on
1. linear OOA(2¹³⁶, 41, F₂, 4, 82) (dual of [(41, 4), 28, 83]-NRT-code), using algebraic-geometric NRT-code AG(4;F,81P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹²⁹, 41, F₂, 4, 75) (dual of [(41, 4), 35, 76]-NRT-code), using algebraic-geometric NRT-code AG(4;F,88P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
3. linear OOA(2⁶, 3, F₂, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;6,2) [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.