MinT - Information on Result #2481494

Information on Result #2481494

Linear OOA(2⁹⁹, 53, F₂, 2, 57) (dual of [(53, 2), 7, 58]-NRT-code), using 2¹ times duplication based on linear OOA(2⁹⁸, 53, F₂, 2, 57) (dual of [(53, 2), 8, 58]-NRT-code), using

3 times NRT-code embedding in larger space [i] based on linear OOA(2⁹², 50, F₂, 2, 57) (dual of [(50, 2), 8, 58]-NRT-code), using
- 2 step truncation [i] based on linear OOA(2⁹⁴, 51, F₂, 2, 59) (dual of [(51, 2), 8, 60]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
      - projective code from ovoid in PG(3,Â 4) [i]
    2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.