MinT - Information on Result #1317937

Information on Result #1317937

Linear OA(4⁸⁵, 110, F₄, 44) (dual of [110, 25, 45]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(4⁸⁴, 108, F₄, 44) (dual of [108, 24, 45]-code), using
- constructionÂ X with VarÅ¡amov bound [i] based on
  1. linear OA(4⁸³, 106, F₄, 44) (dual of [106, 23, 45]-code), using
    - a â€œXBâ€ code from Brouwerâ€™s database [i]
  2. linear OA(4⁸³, 107, F₄, 43) (dual of [107, 24, 44]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 4⁸³Â > V_b^sâˆ’1(kâˆ’1)Â = 89 415252 638107 640008 564284 262952 278692 709620 568288 [i]
  3. linear OA(4⁰, 1, F₄, 0) (dual of [1, 1, 1]-code), using
    - discarding factors / shortening the dual code based on linear OA(4⁰, s, F₄, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
      - OA with only one run / dual of code without redundancy [i]
linear OA(4⁸⁴, 109, F₄, 43) (dual of [109, 25, 44]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 4⁸⁴Â > V_b^sâˆ’1(kâˆ’1)Â = 238 956288 032114 255479 671942 592496 008307 579224 625053 [i]
linear OA(4⁰, 1, F₄, 0) (dual of [1, 1, 1]-code) (see above)

Mode: Linear.

None.

None.