MinT - Information on Result #638140

Information on Result #638140

Linear OA(5¹⁰², 108, F₅, 79) (dual of [108, 6, 80]-code), using concatenation of two codes based on

linear OA(25¹⁵, 18, F₂₅, 15) (dual of [18, 3, 16]-code or 18-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(5⁴, 6, F₅, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
- extended Reedâ€“Solomon code RS_e(2,5) [i]
- Simplex code S(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(5¹⁰¹, 107, F₅, 78) (dual of [107, 6, 79]-code)	[i]		Truncation
2	Linear OA(5⁹⁸, 104, F₅, 75) (dual of [104, 6, 76]-code)	[i]
3	Linear OA(5⁹⁷, 103, F₅, 74) (dual of [103, 6, 75]-code)	[i]
4	Linear OA(5⁹⁶, 102, F₅, 73) (dual of [102, 6, 74]-code)	[i]
5	Linear OA(5⁹⁵, 101, F₅, 72) (dual of [101, 6, 73]-code)	[i]
6	Linear OA(5⁹⁴, 100, F₅, 71) (dual of [100, 6, 72]-code)	[i]
7	Linear OA(5⁹³, 99, F₅, 70) (dual of [99, 6, 71]-code)	[i]
8	Linear OA(5⁹², 98, F₅, 69) (dual of [98, 6, 70]-code)	[i]
9	Linear OA(5⁹¹, 97, F₅, 68) (dual of [97, 6, 69]-code)	[i]
10	Linear OA(5⁹⁰, 96, F₅, 67) (dual of [96, 6, 68]-code)	[i]
11	Linear OA(5⁸⁹, 95, F₅, 66) (dual of [95, 6, 67]-code)	[i]
12	Linear OA(5⁸⁸, 94, F₅, 65) (dual of [94, 6, 66]-code)	[i]
13	Linear OA(5⁸⁷, 93, F₅, 64) (dual of [93, 6, 65]-code)	[i]
14	Linear OA(5⁸⁶, 92, F₅, 63) (dual of [92, 6, 64]-code)	[i]
15	Linear OA(5⁸³, 89, F₅, 60) (dual of [89, 6, 61]-code)	[i]
16	Linear OOA(5¹⁰², 36, F₅, 3, 79) (dual of [(36, 3), 6, 80]-NRT-code)	[i]		OOA Folding