MinT - Information on Result #2204810

Information on Result #2204810

Linear OA(4¹⁹⁵, 216, F₄, 118) (dual of [216, 21, 119]-code), using strength reduction based on linear OA(4¹⁹⁵, 216, F₄, 119) (dual of [216, 21, 120]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁹, 36, F₆₄, 29) (dual of [36, 7, 30]-code or 36-arc in PG(28,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁹, 64, F₆₄, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
    - Reedâ€“Solomon code RS(35,64) [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		Method
1	Linear OA(4¹⁹⁴, 215, F₄, 117) (dual of [215, 21, 118]-code)	[i]	Truncation
2	Linear OA(4¹⁹³, 214, F₄, 116) (dual of [214, 21, 117]-code)	[i]	Truncation
3	Linear OOA(4¹⁹⁵, 108, F₄, 2, 118) (dual of [(108, 2), 21, 119]-NRT-code)	[i]	OOA Folding
4	Linear OOA(4¹⁹⁵, 72, F₄, 3, 118) (dual of [(72, 3), 21, 119]-NRT-code)	[i]	OOA Folding