MinT - Information on Result #2230818

Information on Result #2230818

Linear OA(3¹³¹, 159, F₃, 58) (dual of [159, 28, 59]-code), using 1 times truncation based on linear OA(3¹³², 160, F₃, 59) (dual of [160, 28, 60]-code), using

concatenation of two codes [i] based on
1. linear OA(81⁹, 16, F₈₁, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,81)), using
  - discarding factors / shortening the dual code based on linear OA(81⁹, 81, F₈₁, 9) (dual of [81, 72, 10]-code or 81-arc in PG(8,81)), using
    - Reedâ€“Solomon code RS(72,81) [i]
2. linear OA(3⁶, 10, F₃, 5) (dual of [10, 4, 6]-code), using
  - projective code from ovoid in PG(3,Â 3) [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(3¹³¹, 79, F₃, 2, 58) (dual of [(79, 2), 27, 59]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹³¹, 53, F₃, 3, 58) (dual of [(53, 3), 28, 59]-NRT-code)	[i]		OOA Folding