MinT - Information on Result #2235625

Information on Result #2235625

Linear OA(4⁷³, 79, F₄, 54) (dual of [79, 6, 55]-code), using 1 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(4¹⁵¹, 156, F₄, 109) (dual of [156, 5, 110]-code)	[i]		Repeating Each Code Word
2	Linear OA(2²²⁵, 237, F₂, 109) (dual of [237, 12, 110]-code)	[i]		Concatenation of Two Codes
3	Linear OA(2²²⁴, 234, F₂, 109) (dual of [234, 10, 110]-code)	[i]		Concatenation of Two Codes
4	Linear OOA(4⁷³, 39, F₄, 2, 54) (dual of [(39, 2), 5, 55]-NRT-code)	[i]		OOA Folding
5	Linear OOA(4⁷³, 26, F₄, 3, 54) (dual of [(26, 3), 5, 55]-NRT-code)	[i]		OOA Folding