MinT - Information on Result #2235829

Information on Result #2235829

Linear OA(4⁶⁸, 78, F₄, 44) (dual of [78, 10, 45]-code), using 7 times truncation based on linear OA(4⁷⁵, 85, F₄, 51) (dual of [85, 10, 52]-code), using

concatenation of two codes [i] based on
1. linear OA(16¹², 17, F₁₆, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,16)), using
  - extended Reedâ€“Solomon code RS_e(5,16) [i]
2. linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
  - extended Reedâ€“Solomon code RS_e(2,4) [i]
  - Simplex code S(2,4) [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(4⁶⁸, 39, F₄, 2, 44) (dual of [(39, 2), 10, 45]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4⁶⁸, 26, F₄, 3, 44) (dual of [(26, 3), 10, 45]-NRT-code)	[i]		OOA Folding