MinT - Information on Result #2221187

Information on Result #2221187

Linear OA(2⁸⁶, 161, F₂, 24) (dual of [161, 75, 25]-code), using 1 times truncation based on linear OA(2⁸⁷, 162, F₂, 25) (dual of [162, 75, 26]-code), using

concatenation of two codes [i] based on
1. linear OA(32¹², 27, F₃₂, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,32)), using
  - discarding factors / shortening the dual code based on linear OA(32¹², 32, F₃₂, 12) (dual of [32, 20, 13]-code or 32-arc in PG(11,32)), using
    - Reedâ€“Solomon code RS(20,32) [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(2⁸⁶, 80, F₂, 2, 24) (dual of [(80, 2), 74, 25]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2⁸⁶, 53, F₂, 3, 24) (dual of [(53, 3), 73, 25]-NRT-code)	[i]		OOA Folding