MinT - Information on Result #2233800

Information on Result #2233800

Linear OA(3¹⁶⁸, 344, F₃, 50) (dual of [344, 176, 51]-code), using 1 times truncation based on linear OA(3¹⁶⁹, 345, F₃, 51) (dual of [345, 176, 52]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁵, 69, F₈₁, 25) (dual of [69, 44, 26]-code or 69-arc in PG(24,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁵, 81, F₈₁, 25) (dual of [81, 56, 26]-code or 81-arc in PG(24,81)), using
    - Reedâ€“Solomon code RS(56,81) [i]
2. linear OA(3¹, 5, F₃, 1) (dual of [5, 4, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 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(3¹⁶⁸, 172, F₃, 2, 50) (dual of [(172, 2), 176, 51]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁶⁸, 114, F₃, 3, 50) (dual of [(114, 3), 174, 51]-NRT-code)	[i]		OOA Folding