MinT - Information on Result #2232647

Information on Result #2232647

Linear OA(3¹⁷³, 209, F₃, 76) (dual of [209, 36, 77]-code), using 1 times truncation based on linear OA(3¹⁷⁴, 210, F₃, 77) (dual of [210, 36, 78]-code), using

concatenation of two codes [i] based on
1. linear OA(81¹², 21, F₈₁, 12) (dual of [21, 9, 13]-code or 21-arc in PG(11,81)), using
  - discarding factors / shortening the dual code based on linear OA(81¹², 81, F₈₁, 12) (dual of [81, 69, 13]-code or 81-arc in PG(11,81)), using
    - Reedâ€“Solomon code RS(69,81) [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(3¹⁷⁵, 211, F₃, 76) (dual of [211, 36, 77]-code)	[i]		Code Embedding in Larger Space
2	Linear OA(3¹⁷⁶, 212, F₃, 76) (dual of [212, 36, 77]-code)	[i]		Code Embedding in Larger Space
3	Linear OOA(3¹⁷³, 104, F₃, 2, 76) (dual of [(104, 2), 35, 77]-NRT-code)	[i]		OOA Folding
4	Linear OOA(3¹⁷³, 69, F₃, 3, 76) (dual of [(69, 3), 34, 77]-NRT-code)	[i]		OOA Folding