MinT - Information on Result #736312

Information on Result #736312

Linear OA(5⁵⁴, 58, F₅, 44) (dual of [58, 4, 45]-code), using an explicit generator matrix

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(5⁵³, 57, F₅, 43) (dual of [57, 4, 44]-code)	[i]		Truncation
2	Linear OA(5⁵², 56, F₅, 42) (dual of [56, 4, 43]-code)	[i]
3	Linear OA(5⁵¹, 55, F₅, 41) (dual of [55, 4, 42]-code)	[i]
4	Linear OA(5⁵⁰, 54, F₅, 40) (dual of [54, 4, 41]-code)	[i]
5	Linear OA(5⁴⁹, 53, F₅, 39) (dual of [53, 4, 40]-code)	[i]
6	Linear OOA(5⁵⁴, 29, F₅, 2, 44) (dual of [(29, 2), 4, 45]-NRT-code)	[i]		OOA Folding
7	Linear OOA(5⁵⁴, 19, F₅, 3, 44) (dual of [(19, 3), 3, 45]-NRT-code)	[i]		OOA Folding