MinT - Information on Result #2240117

Information on Result #2240117

Linear OA(4¹⁴⁷, 183, F₄, 76) (dual of [183, 36, 77]-code), using 3 times truncation based on linear OA(4¹⁵⁰, 186, F₄, 79) (dual of [186, 36, 80]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁹, 31, F₆₄, 19) (dual of [31, 12, 20]-code or 31-arc in PG(18,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁹, 64, F₆₄, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
    - Reedâ€“Solomon code RS(45,64) [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(4¹⁴⁷, 91, F₄, 2, 76) (dual of [(91, 2), 35, 77]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁴⁷, 61, F₄, 3, 76) (dual of [(61, 3), 36, 77]-NRT-code)	[i]		OOA Folding