MinT - Information on Result #1297262

Information on Result #1297262

Linear OA(2¹³⁵, 201, F₂, 40) (dual of [201, 66, 41]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(2¹³², 197, F₂, 40) (dual of [197, 65, 41]-code), using
- 1 times truncation [i] based on linear OA(2¹³³, 198, F₂, 41) (dual of [198, 65, 42]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(32²⁰, 33, F₃₂, 20) (dual of [33, 13, 21]-code or 33-arc in PG(19,32)), using
      - extended Reedâ€“Solomon code RS_e(13,32) [i]
    2. linear OA(2¹, 6, F₂, 1) (dual of [6, 5, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [i]
linear OA(2¹³², 198, F₂, 37) (dual of [198, 66, 38]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 2¹³²Â > V_b^sâˆ’1(kâˆ’1)Â = 4544 697303 306397 300553 342614 577130 907790 [i]
linear OA(2², 3, F₂, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,2)), using
- dual of repetition code with length 3 [i]
- Hamming code H(2,2) [i]

Mode: Linear.

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