MinT - Information on Result #2236805

Information on Result #2236805

Linear OA(4⁸⁹, 107, F₄, 50) (dual of [107, 18, 51]-code), using 1 times truncation based on linear OA(4⁹⁰, 108, F₄, 51) (dual of [108, 18, 52]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹², 18, F₆₄, 12) (dual of [18, 6, 13]-code or 18-arc in PG(11,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹², 64, F₆₄, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), using
    - Reedâ€“Solomon code RS(52,64) [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(4⁸⁹, 53, F₄, 2, 50) (dual of [(53, 2), 17, 51]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4⁸⁹, 35, F₄, 3, 50) (dual of [(35, 3), 16, 51]-NRT-code)	[i]		OOA Folding