MinT - Information on Result #638104

Information on Result #638104

Linear OA(5⁹⁵, 105, F₅, 67) (dual of [105, 10, 68]-code), using concatenation of two codes based on

linear OA(25¹⁶, 21, F₂₅, 16) (dual of [21, 5, 17]-code or 21-arc in PG(15,25)), using
- discarding factors / shortening the dual code based on linear OA(25¹⁶, 25, F₂₅, 16) (dual of [25, 9, 17]-code or 25-arc in PG(15,25)), using
  - Reedâ€“Solomon code RS(9,25) [i]
linear OA(5³, 5, F₅, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
- Reedâ€“Solomon code RS(2,5) [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(5⁹⁵, 105, F₅, 66) (dual of [105, 10, 67]-code)	[i]		Strength Reduction
2	Linear OA(5⁹⁵, 105, F₅, 65) (dual of [105, 10, 66]-code)	[i]		Strength Reduction
3	Linear OA(5⁹⁴, 104, F₅, 66) (dual of [104, 10, 67]-code)	[i]		Truncation
4	Linear OA(5⁹³, 103, F₅, 65) (dual of [103, 10, 66]-code)	[i]
5	Linear OA(5⁹², 102, F₅, 64) (dual of [102, 10, 65]-code)	[i]
6	Linear OA(5⁹¹, 101, F₅, 63) (dual of [101, 10, 64]-code)	[i]
7	Linear OA(5⁸⁹, 99, F₅, 61) (dual of [99, 10, 62]-code)	[i]
8	Linear OOA(5⁹⁵, 52, F₅, 2, 67) (dual of [(52, 2), 9, 68]-NRT-code)	[i]		OOA Folding
9	Linear OOA(5⁹⁵, 35, F₅, 3, 67) (dual of [(35, 3), 10, 68]-NRT-code)	[i]		OOA Folding