MinT - Information on Result #1298044

Information on Result #1298044

Linear OA(3⁶⁶, 115, F₃, 25) (dual of [115, 49, 26]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(3⁶⁴, 112, F₃, 25) (dual of [112, 48, 26]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27¹², 28, F₂₇, 12) (dual of [28, 16, 13]-code or 28-arc in PG(11,27)), using
    - extended Reedâ€“Solomon code RS_e(16,27) [i]
  2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [i]
linear OA(3⁶⁴, 113, F₃, 23) (dual of [113, 49, 24]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 3⁶⁴Â > V_b^sâˆ’1(kâˆ’1)Â = 563531 716547 723525 076640 445121 [i]
linear OA(3¹, 2, F₃, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s (see above)

Mode: Linear.

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None.