MinT - Information on Result #2224992

Information on Result #2224992

Linear OA(2²²⁰, 236, F₂, 100) (dual of [236, 16, 101]-code), using 1 times truncation based on linear OA(2²²¹, 237, F₂, 101) (dual of [237, 16, 102]-code), using

concatenation of two codes [i] based on
1. linear OA(4⁷¹, 79, F₄, 50) (dual of [79, 8, 51]-code), using
  - 1 times truncation [i] based on linear OA(4⁷², 80, F₄, 51) (dual of [80, 8, 52]-code), using
    - concatenation of two codes [i] based on
      1. linear OA(16¹², 16, F₁₆, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
        Reedâ€“Solomon code RS(4,16) [i]
      2. 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]
2. linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 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]

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²²⁰, 118, F₂, 2, 100) (dual of [(118, 2), 16, 101]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²²⁰, 47, F₂, 5, 100) (dual of [(47, 5), 15, 101]-NRT-code)	[i]		OOA Folding