MinT - Information on Result #2237334

Information on Result #2237334

Linear OA(4⁹³, 117, F₄, 48) (dual of [117, 24, 49]-code), using 3 times truncation based on linear OA(4⁹⁶, 120, F₄, 51) (dual of [120, 24, 52]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹², 20, F₆₄, 12) (dual of [20, 8, 13]-code or 20-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(4⁹³, 58, F₄, 2, 48) (dual of [(58, 2), 23, 49]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4⁹³, 39, F₄, 3, 48) (dual of [(39, 3), 24, 49]-NRT-code)	[i]		OOA Folding