MinT - Information on Result #2235626

Information on Result #2235626

Linear OA(4⁷², 78, F₄, 53) (dual of [78, 6, 54]-code), using 2 times truncation based on linear OA(4⁷⁴, 80, F₄, 55) (dual of [80, 6, 56]-code), using

concatenation of two codes [i] based on
1. linear OA(16¹³, 16, F₁₆, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using
  - Reedâ€“Solomon code RS(3,16) [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 OA(2²²², 234, F₂, 107) (dual of [234, 12, 108]-code)	[i]		Concatenation of Two Codes
2	Linear OA(2²²¹, 231, F₂, 107) (dual of [231, 10, 108]-code)	[i]		Concatenation of Two Codes
3	Linear OOA(4⁷², 39, F₄, 2, 53) (dual of [(39, 2), 6, 54]-NRT-code)	[i]		OOA Folding
4	Linear OOA(4⁷², 26, F₄, 3, 53) (dual of [(26, 3), 6, 54]-NRT-code)	[i]		OOA Folding