MinT - Information on Result #2235699

Information on Result #2235699

Linear OA(4⁸², 88, F₄, 61) (dual of [88, 6, 62]-code), using 2 times truncation based on linear OA(4⁸⁴, 90, F₄, 63) (dual of [90, 6, 64]-code), using

concatenation of two codes [i] based on
1. linear OA(16¹⁵, 18, F₁₆, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
  - Denniston code D(1,16) [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(2²⁵², 264, F₂, 123) (dual of [264, 12, 124]-code)	[i]		Concatenation of Two Codes
2	Linear OA(2²⁵¹, 261, F₂, 123) (dual of [261, 10, 124]-code)	[i]		Concatenation of Two Codes
3	Linear OOA(4⁸², 44, F₄, 2, 61) (dual of [(44, 2), 6, 62]-NRT-code)	[i]		OOA Folding
4	Linear OOA(4⁸², 29, F₄, 3, 61) (dual of [(29, 3), 5, 62]-NRT-code)	[i]		OOA Folding