MinT - Information on Result #641104

Information on Result #641104

Linear OA(4¹⁹⁴, 201, F₄, 134) (dual of [201, 7, 135]-code), using juxtaposition based on

linear OA(4⁵⁷, 64, F₄, 43) (dual of [64, 7, 44]-code), using
- an extension C_e(42) of the primitive narrow-sense BCH-code C(I) with length 63Â = 4³âˆ’1, defining interval IÂ =Â [1,42], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 43 [i]
linear OA(4¹³⁰, 137, F₄, 90) (dual of [137, 7, 91]-code), using
- juxtaposition [i] based on
  1. linear OA(4⁵⁶, 63, F₄, 42) (dual of [63, 7, 43]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 63Â = 4³âˆ’1, defining interval IÂ =Â [0,31], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 43 [i]
  2. linear OA(4⁶⁷, 74, F₄, 47) (dual of [74, 7, 48]-code), using
    - discarding factors / shortening the dual code based on linear OA(4⁶⁷, 75, F₄, 47) (dual of [75, 8, 48]-code), using
      - concatenation of two codes [i] based on
        linear OA(16¹¹, 15, F₁₆, 11) (dual of [15, 4, 12]-code or 15-arc in PG(10,16)), using
        discarding factors / shortening the dual code based on linear OA(16¹¹, 16, F₁₆, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
        Reedâ€“Solomon code RS(5,16) [i]
        linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
        extended Reedâ€“Solomon code RS_e(2,4) [i]
        Simplex code S(2,4) [i]

Mode: Constructive and linear.

None.

None.