MinT - Information on Result #2237953

Information on Result #2237953

Linear OA(4¹¹², 136, F₄, 61) (dual of [136, 24, 62]-code), using 2 times truncation based on linear OA(4¹¹⁴, 138, F₄, 63) (dual of [138, 24, 64]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁵, 23, F₆₄, 15) (dual of [23, 8, 16]-code or 23-arc in PG(14,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁵, 64, F₆₄, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using
    - Reedâ€“Solomon code RS(49,64) [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(4¹¹², 68, F₄, 2, 61) (dual of [(68, 2), 24, 62]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹¹², 45, F₄, 3, 61) (dual of [(45, 3), 23, 62]-NRT-code)	[i]		OOA Folding