MinT - Information on Result #2201130

Information on Result #2201130

Linear OA(4¹⁰⁵, 132, F₄, 54) (dual of [132, 27, 55]-code), using strength reduction based on linear OA(4¹⁰⁵, 132, F₄, 55) (dual of [132, 27, 56]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹³, 22, F₆₄, 13) (dual of [22, 9, 14]-code or 22-arc in PG(12,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹³, 64, F₆₄, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), using
    - Reedâ€“Solomon code RS(51,64) [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(4¹⁰⁵, 66, F₄, 2, 54) (dual of [(66, 2), 27, 55]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁰⁵, 44, F₄, 3, 54) (dual of [(44, 3), 27, 55]-NRT-code)	[i]		OOA Folding