MinT - Information on Result #2225118

Information on Result #2225118

Linear OA(2¹⁶⁰, 328, F₂, 38) (dual of [328, 168, 39]-code), using 1 times truncation based on linear OA(2¹⁶¹, 329, F₂, 39) (dual of [329, 168, 40]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁹, 47, F₆₄, 19) (dual of [47, 28, 20]-code or 47-arc in PG(18,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁹, 64, F₆₄, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
    - Reedâ€“Solomon code RS(45,64) [i]
2. linear OA(2¹, 7, F₂, 1) (dual of [7, 6, 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹⁶⁰, 164, F₂, 2, 38) (dual of [(164, 2), 168, 39]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2¹⁶⁰, 109, F₂, 3, 38) (dual of [(109, 3), 167, 39]-NRT-code)	[i]		OOA Folding