MinT - Information on Result #638100

Information on Result #638100

Linear OA(5⁹⁰, 100, F₅, 63) (dual of [100, 10, 64]-code), using concatenation of two codes based on

linear OA(25¹⁵, 20, F₂₅, 15) (dual of [20, 5, 16]-code or 20-arc in PG(14,25)), using
- discarding factors / shortening the dual code based on linear OA(25¹⁵, 25, F₂₅, 15) (dual of [25, 10, 16]-code or 25-arc in PG(14,25)), using
  - Reedâ€“Solomon code RS(10,25) [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(5⁸⁹, 99, F₅, 62) (dual of [99, 10, 63]-code)	[i]		Truncation
2	Linear OA(5⁸⁸, 98, F₅, 61) (dual of [98, 10, 62]-code)	[i]
3	Linear OA(5⁸⁷, 97, F₅, 60) (dual of [97, 10, 61]-code)	[i]
4	Linear OA(5⁸⁴, 94, F₅, 57) (dual of [94, 10, 58]-code)	[i]
5	Linear OA(5⁸³, 93, F₅, 56) (dual of [93, 10, 57]-code)	[i]
6	Linear OA(5⁸¹, 91, F₅, 54) (dual of [91, 10, 55]-code)	[i]
7	Linear OOA(5⁹⁰, 50, F₅, 2, 63) (dual of [(50, 2), 10, 64]-NRT-code)	[i]		OOA Folding
8	Linear OOA(5⁹⁰, 33, F₅, 3, 63) (dual of [(33, 3), 9, 64]-NRT-code)	[i]		OOA Folding