MinT - Information on Result #2241822

Information on Result #2241822

Linear OA(4²⁰⁹, 245, F₄, 118) (dual of [245, 36, 119]-code), using 1 times truncation based on linear OA(4²¹⁰, 246, F₄, 119) (dual of [246, 36, 120]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁹, 41, F₆₄, 29) (dual of [41, 12, 30]-code or 41-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		This result only	Method
1	Linear OOA(4²⁰⁹, 122, F₄, 2, 118) (dual of [(122, 2), 35, 119]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4²⁰⁹, 81, F₄, 3, 118) (dual of [(81, 3), 34, 119]-NRT-code)	[i]		OOA Folding