MinT - Information on Result #2235627

Information on Result #2235627

Linear OA(4⁷¹, 77, F₄, 52) (dual of [77, 6, 53]-code), using 3 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(2²¹⁹, 231, F₂, 105) (dual of [231, 12, 106]-code)	[i]		Concatenation of Two Codes
2	Linear OA(2²¹⁸, 228, F₂, 105) (dual of [228, 10, 106]-code)	[i]		Concatenation of Two Codes
3	Linear OOA(4⁷¹, 38, F₄, 2, 52) (dual of [(38, 2), 5, 53]-NRT-code)	[i]		OOA Folding