MinT - Information on Result #1297994

Information on Result #1297994

Linear OA(3⁷², 90, F₃, 36) (dual of [90, 18, 37]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(3⁶¹, 77, F₃, 36) (dual of [77, 16, 37]-code), using
- 5 times truncation [i] based on linear OA(3⁶⁶, 82, F₃, 41) (dual of [82, 16, 42]-code), using
  - contraction [i] based on linear OA(3¹⁴⁸, 164, F₃, 83) (dual of [164, 16, 84]-code), using the BCH-code C(I) with length 164Â | 3⁸âˆ’1, defining interval IÂ =Â {0,1,…,82}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 84 [i]
linear OA(3⁶¹, 79, F₃, 28) (dual of [79, 18, 29]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 3⁶¹Â > V_b^sâˆ’1(kâˆ’1)Â = 120772 168858 130105 497441 751161 [i]
linear OA(3⁹, 11, F₃, 7) (dual of [11, 2, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(3⁹, 12, F₃, 7) (dual of [12, 3, 8]-code), using
  - 1 times truncation [i] based on linear OA(3¹⁰, 13, F₃, 8) (dual of [13, 3, 9]-code), using
    - Simplex code S(3,3) [i]
    - the expurgated narrow-sense BCH-code C(I) with length 13Â | 3³âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−1,0,…,6}|+1Â =Â 9 (BCH-bound) [i]

Mode: Linear.

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