MinT - Information on Result #2183736

Information on Result #2183736

Linear OA(2²⁰⁰, 216, F₂, 94) (dual of [216, 16, 95]-code), using strength reduction 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 OA(2¹⁹⁹, 215, F₂, 93) (dual of [215, 16, 94]-code)	[i]		Truncation
2	Linear OA(2¹⁹⁸, 214, F₂, 92) (dual of [214, 16, 93]-code)	[i]
3	Linear OA(2¹⁹⁶, 212, F₂, 90) (dual of [212, 16, 91]-code)	[i]
4	Linear OA(2¹⁹⁵, 211, F₂, 89) (dual of [211, 16, 90]-code)	[i]
5	Linear OOA(2²⁰⁰, 108, F₂, 2, 94) (dual of [(108, 2), 16, 95]-NRT-code)	[i]		OOA Folding
6	Linear OOA(2²⁰⁰, 72, F₂, 3, 94) (dual of [(72, 3), 16, 95]-NRT-code)	[i]		OOA Folding