MinT - Information on Result #2240882

Information on Result #2240882

Linear OA(4¹⁶⁰, 202, F₄, 81) (dual of [202, 42, 82]-code), using 2 times truncation based on linear OA(4¹⁶², 204, F₄, 83) (dual of [204, 42, 84]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁰, 34, F₆₄, 20) (dual of [34, 14, 21]-code or 34-arc in PG(19,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁰, 64, F₆₄, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
    - Reedâ€“Solomon code RS(44,64) [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(4¹⁶⁰, 101, F₄, 2, 81) (dual of [(101, 2), 42, 82]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁶⁰, 67, F₄, 3, 81) (dual of [(67, 3), 41, 82]-NRT-code)	[i]		OOA Folding