MinT - Information on Result #2238184

Information on Result #2238184

Linear OA(4¹¹⁸, 142, F₄, 65) (dual of [142, 24, 66]-code), using 2 times truncation based on linear OA(4¹²⁰, 144, F₄, 67) (dual of [144, 24, 68]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁶, 24, F₆₄, 16) (dual of [24, 8, 17]-code or 24-arc in PG(15,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁶, 64, F₆₄, 16) (dual of [64, 48, 17]-code or 64-arc in PG(15,64)), using
    - Reedâ€“Solomon code RS(48,64) [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		Method
1	Linear OA(4¹²⁰, 145, F₄, 65) (dual of [145, 25, 66]-code)	[i]	ConstructionÂ X with VarÅ¡amov Bound
2	Linear OOA(4¹¹⁸, 71, F₄, 2, 65) (dual of [(71, 2), 24, 66]-NRT-code)	[i]	OOA Folding
3	Linear OOA(4¹¹⁸, 47, F₄, 3, 65) (dual of [(47, 3), 23, 66]-NRT-code)	[i]	OOA Folding