MinT - Information on Result #2226827

Information on Result #2226827

Linear OA(2²⁴³, 447, F₂, 60) (dual of [447, 204, 61]-code), using 1 times truncation based on linear OA(2²⁴⁴, 448, F₂, 61) (dual of [448, 204, 62]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁰, 64, F₆₄, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
  - Reedâ€“Solomon code RS(34,64) [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(2²⁴³, 223, F₂, 2, 60) (dual of [(223, 2), 203, 61]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²⁴³, 149, F₂, 3, 60) (dual of [(149, 3), 204, 61]-NRT-code)	[i]		OOA Folding