MinT - Information on Result #2224227

Information on Result #2224227

Linear OA(2¹⁹⁹, 215, F₂, 93) (dual of [215, 16, 94]-code), using 1 times truncation based on linear OA(2²⁰⁰, 216, F₂, 94) (dual of [216, 16, 95]-code), using

strength reduction [i] based on linear OA(2²⁰⁰, 216, F₂, 95) (dual of [216, 16, 96]-code), using
- concatenation of two codes [i] based on
  1. linear OA(4⁶⁴, 72, F₄, 47) (dual of [72, 8, 48]-code), using
    - BCH codes lengthened with UEP codes [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(2¹⁹⁹, 43, F₂, 5, 93) (dual of [(43, 5), 16, 94]-NRT-code)	[i]		OOA Folding