MinT - Information on Result #2222230

Information on Result #2222230

Linear OA(2¹¹⁰, 185, F₂, 32) (dual of [185, 75, 33]-code), using 1 times truncation based on linear OA(2¹¹¹, 186, F₂, 33) (dual of [186, 75, 34]-code), using

concatenation of two codes [i] based on
1. linear OA(32¹⁶, 31, F₃₂, 16) (dual of [31, 15, 17]-code or 31-arc in PG(15,32)), using
  - discarding factors / shortening the dual code based on linear OA(32¹⁶, 32, F₃₂, 16) (dual of [32, 16, 17]-code or 32-arc in PG(15,32)), using
    - Reedâ€“Solomon code RS(16,32) [i]
2. linear OA(2¹, 6, F₂, 1) (dual of [6, 5, 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(2¹¹⁰, 92, F₂, 2, 32) (dual of [(92, 2), 74, 33]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2¹¹⁰, 61, F₂, 3, 32) (dual of [(61, 3), 73, 33]-NRT-code)	[i]		OOA Folding