MinT - Information on Result #2239597

Information on Result #2239597

Linear OA(4¹⁵¹, 178, F₄, 85) (dual of [178, 27, 86]-code), using 2 times truncation based on linear OA(4¹⁵³, 180, F₄, 87) (dual of [180, 27, 88]-code), using

concatenation of two codes [i] based on
1. linear OA(64²¹, 30, F₆₄, 21) (dual of [30, 9, 22]-code or 30-arc in PG(20,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²¹, 64, F₆₄, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
    - Reedâ€“Solomon code RS(43,64) [i]
2. linear OA(4³, 6, F₄, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
  - hyperoval in PG(2,Â 4) [i]
  - the Hexacode [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(4¹⁵¹, 89, F₄, 2, 85) (dual of [(89, 2), 27, 86]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁵¹, 59, F₄, 3, 85) (dual of [(59, 3), 26, 86]-NRT-code)	[i]		OOA Folding