MinT - Information on Result #2241220

Information on Result #2241220

Linear OA(4¹⁸³, 219, F₄, 100) (dual of [219, 36, 101]-code), using 3 times truncation based on linear OA(4¹⁸⁶, 222, F₄, 103) (dual of [222, 36, 104]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁵, 37, F₆₄, 25) (dual of [37, 12, 26]-code or 37-arc in PG(24,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁵, 64, F₆₄, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using
    - Reedâ€“Solomon code RS(39,64) [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(4¹⁸³, 109, F₄, 2, 100) (dual of [(109, 2), 35, 101]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁸³, 73, F₄, 3, 100) (dual of [(73, 3), 36, 101]-NRT-code)	[i]		OOA Folding