MinT - Information on Result #2222299

Information on Result #2222299

Linear OA(2¹¹³, 173, F₂, 34) (dual of [173, 60, 35]-code), using 1 times truncation based on linear OA(2¹¹⁴, 174, F₂, 35) (dual of [174, 60, 36]-code), using

concatenation of two codes [i] based on
1. linear OA(32¹⁷, 29, F₃₂, 17) (dual of [29, 12, 18]-code or 29-arc in PG(16,32)), using
  - discarding factors / shortening the dual code based on linear OA(32¹⁷, 32, F₃₂, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,32)), using
    - Reedâ€“Solomon code RS(15,32) [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(2¹¹³, 86, F₂, 2, 34) (dual of [(86, 2), 59, 35]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2¹¹³, 57, F₂, 3, 34) (dual of [(57, 3), 58, 35]-NRT-code)	[i]		OOA Folding