MinT - Information on Result #2207668

Information on Result #2207668

Linear OA(4²⁴³, 282, F₄, 138) (dual of [282, 39, 139]-code), using strength reduction based on linear OA(4²⁴³, 282, F₄, 139) (dual of [282, 39, 140]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁴, 47, F₆₄, 34) (dual of [47, 13, 35]-code or 47-arc in PG(33,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁴, 64, F₆₄, 34) (dual of [64, 30, 35]-code or 64-arc in PG(33,64)), using
    - Reedâ€“Solomon code RS(30,64) [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(4²⁴², 281, F₄, 137) (dual of [281, 39, 138]-code)	[i]	Truncation
2	Linear OA(4²⁴¹, 280, F₄, 136) (dual of [280, 39, 137]-code)	[i]	Truncation
3	Linear OOA(4²⁴³, 141, F₄, 2, 138) (dual of [(141, 2), 39, 139]-NRT-code)	[i]	OOA Folding
4	Linear OOA(4²⁴³, 94, F₄, 3, 138) (dual of [(94, 3), 39, 139]-NRT-code)	[i]	OOA Folding