MinT - Information on Result #1297803

Information on Result #1297803

Linear OA(2²⁶⁰, 368, F₂, 74) (dual of [368, 108, 75]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(2²⁵⁵, 359, F₂, 74) (dual of [359, 104, 75]-code), using
- 1 times truncation [i] based on linear OA(2²⁵⁶, 360, F₂, 75) (dual of [360, 104, 76]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(16⁴⁶, 72, F₁₆, 37) (dual of [72, 26, 38]-code), using
      - extended algebraic-geometric code AG_e(F,34P) [i] based on function field F/F₁₆ with g(F) = 9 and N(F) ≥ 72, using
        a curve from the manYPoints database [i]
    2. linear OA(2¹, 5, F₂, 1) (dual of [5, 4, 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(2²⁵⁵, 363, F₂, 72) (dual of [363, 108, 73]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 2²⁵⁵Â > V_b^sâˆ’1(kâˆ’1)Â = 45991 386575 027155 402330 014782 592825 742446 835237 696573 823808 668297 645071 359496 [i]
linear OA(2¹, 5, F₂, 1) (dual of [5, 4, 2]-code) (see above)

Mode: Linear.

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None.