MinT - Information on Result #2475901

Information on Result #2475901

Linear OOA(8¹³⁸, 72, F₈, 2, 123) (dual of [(72, 2), 6, 124]-NRT-code), using 2 step truncation based on linear OOA(8¹⁴⁰, 73, F₈, 2, 125) (dual of [(73, 2), 6, 126]-NRT-code), using

constructionÂ X applied to AG(2;F,0P) âŠ‚ AG(2;F,16P) [i] based on
1. linear OOA(8¹²⁷, 64, F₈, 2, 127) (dual of [(64, 2), 1, 128]-NRT-code), using algebraic-geometric NRT-code AG(2;F,0P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
  - the Suzuki function field over F₈ [i]
2. linear OOA(8¹²², 64, F₈, 2, 111) (dual of [(64, 2), 6, 112]-NRT-code), using algebraic-geometric NRT-code AG(2;F,16P) with known gap numbers [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F₈ [i]
3. linear OOA(8¹³, 9, F₈, 2, 13) (dual of [(9, 2), 5, 14]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;5,8) [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.