MinT - Information on Result #2239606

Information on Result #2239606

Linear OA(4¹³⁸, 171, F₄, 72) (dual of [171, 33, 73]-code), using 3 times truncation based on linear OA(4¹⁴¹, 174, F₄, 75) (dual of [174, 33, 76]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁸, 29, F₆₄, 18) (dual of [29, 11, 19]-code or 29-arc in PG(17,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁸, 64, F₆₄, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), using
    - Reedâ€“Solomon code RS(46,64) [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(4¹³⁸, 85, F₄, 2, 72) (dual of [(85, 2), 32, 73]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹³⁸, 57, F₄, 3, 72) (dual of [(57, 3), 33, 73]-NRT-code)	[i]		OOA Folding