MinT - Information on Result #1299942

Information on Result #1299942

Linear OA(4⁸⁵, 104, F₄, 47) (dual of [104, 19, 48]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(4⁸², 100, F₄, 47) (dual of [100, 18, 48]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16¹⁶, 25, F₁₆, 15) (dual of [25, 9, 16]-code), using
    - extended algebraic-geometric code AG_e(F,9P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 25, using
      - sharp bound on the number of rational points on curves with genus 1 [i]
  2. linear OA(4², 4, F₄, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
    - Reedâ€“Solomon code RS(2,4) [i]
linear OA(4⁸², 101, F₄, 44) (dual of [101, 19, 45]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 4⁸²Â > V_b^sâˆ’1(kâˆ’1)Â = 16 550988 759464 658093 156496 228807 116816 328998 619768 [i]
linear OA(4², 3, F₄, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), using
- dual of repetition code with length 3 [i]

Mode: Linear.

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