MinT - Information on Result #662304

Information on Result #662304

Linear OA(4¹⁶⁷, 4123, F₄, 33) (dual of [4123, 3956, 34]-code), using (u,Â u+v)-construction based on

linear OA(4²², 26, F₄, 16) (dual of [26, 4, 17]-code), using
- juxtaposition [i] based on
  1. linear OA(4⁵, 9, F₄, 4) (dual of [9, 4, 5]-code), using
    - discarding factors / shortening the dual code based on linear OA(4⁵, 11, F₄, 4) (dual of [11, 6, 5]-code), using
      - quaternary constacyclic codes with minimum distance 5 [i]
  2. linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
    - projective code from ovoid in PG(3,Â 4) [i]
linear OA(4¹⁴⁵, 4097, F₄, 33) (dual of [4097, 3952, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097Â | 4¹²âˆ’1, defining interval IÂ =Â [0,16], and minimum distance dÂ â‰¥ |{−16,−15,…,16}|+1Â =Â 34 (BCH-bound) [i]

Mode: Constructive and linear.

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