MinT - Information on Result #2241130

Information on Result #2241130

Linear OA(4¹⁸⁷, 220, F₄, 105) (dual of [220, 33, 106]-code), using 2 times truncation based on linear OA(4¹⁸⁹, 222, F₄, 107) (dual of [222, 33, 108]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁶, 37, F₆₄, 26) (dual of [37, 11, 27]-code or 37-arc in PG(25,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁶, 64, F₆₄, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), using
    - Reedâ€“Solomon code RS(38,64) [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(4¹⁸⁷, 110, F₄, 2, 105) (dual of [(110, 2), 33, 106]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁸⁷, 73, F₄, 3, 105) (dual of [(73, 3), 32, 106]-NRT-code)	[i]		OOA Folding