MinT - Information on Result #633758

Information on Result #633758

Linear OA(3¹⁸⁴, 220, F₃, 83) (dual of [220, 36, 84]-code), using concatenation of two codes based on

linear OA(81¹³, 22, F₈₁, 13) (dual of [22, 9, 14]-code or 22-arc in PG(12,81)), using
- discarding factors / shortening the dual code based on linear OA(81¹³, 81, F₈₁, 13) (dual of [81, 68, 14]-code or 81-arc in PG(12,81)), using
  - Reedâ€“Solomon code RS(68,81) [i]
linear OA(3⁶, 10, F₃, 5) (dual of [10, 4, 6]-code), using
- projective code from ovoid in PG(3,Â 3) [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(3¹⁸⁴, 220, F₃, 82) (dual of [220, 36, 83]-code)	[i]		Strength Reduction
2	Linear OA(3¹⁸⁴, 220, F₃, 81) (dual of [220, 36, 82]-code)	[i]
3	Linear OA(3¹⁸⁴, 220, F₃, 80) (dual of [220, 36, 81]-code)	[i]
4	Linear OA(3¹⁸⁵, 221, F₃, 83) (dual of [221, 36, 84]-code)	[i]		Code Embedding in Larger Space
5	Linear OA(3¹⁸⁶, 222, F₃, 83) (dual of [222, 36, 84]-code)	[i]		Code Embedding in Larger Space
6	Linear OA(3¹⁸³, 219, F₃, 82) (dual of [219, 36, 83]-code)	[i]		Truncation
7	Linear OA(3¹⁸², 218, F₃, 81) (dual of [218, 36, 82]-code)	[i]
8	Linear OA(3¹⁸¹, 217, F₃, 80) (dual of [217, 36, 81]-code)	[i]
9	Linear OA(3¹⁷⁹, 215, F₃, 78) (dual of [215, 36, 79]-code)	[i]
10	Linear OA(3¹⁷⁸, 214, F₃, 77) (dual of [214, 36, 78]-code)	[i]
11	Linear OA(3¹⁷⁷, 213, F₃, 76) (dual of [213, 36, 77]-code)	[i]
12	Linear OA(3¹⁷⁶, 212, F₃, 75) (dual of [212, 36, 76]-code)	[i]
13	Linear OA(3¹⁷⁵, 211, F₃, 74) (dual of [211, 36, 75]-code)	[i]
14	Linear OOA(3¹⁸⁴, 110, F₃, 2, 83) (dual of [(110, 2), 36, 84]-NRT-code)	[i]		OOA Folding
15	Linear OOA(3¹⁸⁴, 73, F₃, 3, 83) (dual of [(73, 3), 35, 84]-NRT-code)	[i]		OOA Folding