MinT - Information on Result #2222087

Information on Result #2222087

Linear OA(2¹⁰⁶, 191, F₂, 30) (dual of [191, 85, 31]-code), using 1 times truncation based on linear OA(2¹⁰⁷, 192, F₂, 31) (dual of [192, 85, 32]-code), using

concatenation of two codes [i] based on
1. linear OA(32¹⁵, 32, F₃₂, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), using
  - Reedâ€“Solomon code RS(17,32) [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(2¹⁰⁶, 95, F₂, 2, 30) (dual of [(95, 2), 84, 31]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2¹⁰⁶, 63, F₂, 3, 30) (dual of [(63, 3), 83, 31]-NRT-code)	[i]		OOA Folding