MinT - Information on Result #2232893

Information on Result #2232893

Linear OA(3¹⁸³, 219, F₃, 82) (dual of [219, 36, 83]-code), using 1 times truncation based on linear OA(3¹⁸⁴, 220, F₃, 83) (dual of [220, 36, 84]-code), using

concatenation of two codes [i] based on
1. linear OA(81¹³, 22, F₈₁, 13) (dual of [22, 9, 14]-code or 22-arc in PG(12,81)), using
  - discarding factors / shortening the dual code based on linear OA(81¹³, 81, F₈₁, 13) (dual of [81, 68, 14]-code or 81-arc in PG(12,81)), using
    - Reedâ€“Solomon code RS(68,81) [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 OA(3¹⁸⁵, 221, F₃, 82) (dual of [221, 36, 83]-code)	[i]		Code Embedding in Larger Space
2	Linear OOA(3¹⁸³, 109, F₃, 2, 82) (dual of [(109, 2), 35, 83]-NRT-code)	[i]		OOA Folding
3	Linear OOA(3¹⁸³, 73, F₃, 3, 82) (dual of [(73, 3), 36, 83]-NRT-code)	[i]		OOA Folding