MinT - Information on Result #2423266

Information on Result #2423266

Linear OOA(2¹⁸⁷, 97, F₂, 2, 111) (dual of [(97, 2), 7, 112]-NRT-code), using strength reduction based on linear OOA(2¹⁸⁷, 97, F₂, 2, 112) (dual of [(97, 2), 7, 113]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁸⁷, 47, F₂, 2, 53) (dual of [(47, 2), 7, 54]-NRT-code), using
  - 1 step truncation [i] based on linear OOA(2⁸⁸, 48, F₂, 2, 54) (dual of [(48, 2), 8, 55]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OA(4¹², 16, F₄, 10) (dual of [16, 4, 11]-code), using
        1 times truncation [i] based on 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]
2. linear OOA(2⁹³, 50, F₂, 2, 58) (dual of [(50, 2), 7, 59]-NRT-code), using
  - 1 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) (see above)
      2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code) (see above)

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.