MinT - Information on Result #2243386

Information on Result #2243386

Linear OA(4²⁴⁵, 305, F₄, 126) (dual of [305, 60, 127]-code), using 1 times truncation based on linear OA(4²⁴⁶, 306, F₄, 127) (dual of [306, 60, 128]-code), using

concatenation of two codes [i] based on
1. linear OA(64³¹, 51, F₆₄, 31) (dual of [51, 20, 32]-code or 51-arc in PG(30,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³¹, 64, F₆₄, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), using
    - Reedâ€“Solomon code RS(33,64) [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OA(4²⁴⁶, 307, F₄, 126) (dual of [307, 61, 127]-code)	[i]	ConstructionÂ X with VarÅ¡amov Bound
2	Linear OOA(4²⁴⁵, 152, F₄, 2, 126) (dual of [(152, 2), 59, 127]-NRT-code)	[i]	OOA Folding
3	Linear OOA(4²⁴⁵, 101, F₄, 3, 126) (dual of [(101, 3), 58, 127]-NRT-code)	[i]	OOA Folding