MinT - Information on Result #2241051

Information on Result #2241051

Linear OA(4¹⁷⁹, 215, F₄, 98) (dual of [215, 36, 99]-code), using 1 times truncation based on linear OA(4¹⁸⁰, 216, F₄, 99) (dual of [216, 36, 100]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁴, 36, F₆₄, 24) (dual of [36, 12, 25]-code or 36-arc in PG(23,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁴, 64, F₆₄, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
    - Reedâ€“Solomon code RS(40,64) [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(4¹⁷⁹, 107, F₄, 2, 98) (dual of [(107, 2), 35, 99]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁷⁹, 71, F₄, 3, 98) (dual of [(71, 3), 34, 99]-NRT-code)	[i]		OOA Folding