MinT - Information on Result #1069377

Information on Result #1069377

Linear OOA(81⁵³, 1640, F₈₁, 4, 27) (dual of [(1640, 4), 6507, 28]-NRT-code), using OOA 4-folding based on linear OA(81⁵³, 6560, F₈₁, 27) (dual of [6560, 6507, 28]-code), using

discarding factors / shortening the dual code based on linear OA(81⁵³, 6561, F₈₁, 27) (dual of [6561, 6508, 28]-code), using
- an extension C_e(26) of the primitive narrow-sense BCH-code C(I) with length 6560Â = 81²âˆ’1, defining interval IÂ =Â [1,26], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 27 [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(81⁶⁶, 1722, F₈₁, 4, 27) (dual of [(1722, 4), 6822, 28]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(81⁶⁷, 1740, F₈₁, 4, 27) (dual of [(1740, 4), 6893, 28]-NRT-code)	[i]
3	Linear OOA(81⁶⁸, 1756, F₈₁, 4, 27) (dual of [(1756, 4), 6956, 28]-NRT-code)	[i]
4	Linear OOA(81⁷⁰, 1790, F₈₁, 4, 27) (dual of [(1790, 4), 7090, 28]-NRT-code)	[i]
5	Linear OOA(81⁷¹, 1800, F₈₁, 4, 27) (dual of [(1800, 4), 7129, 28]-NRT-code)	[i]
6	Linear OOA(81⁷², 1804, F₈₁, 4, 27) (dual of [(1804, 4), 7144, 28]-NRT-code)	[i]
7	Linear OOA(81⁷³, 1822, F₈₁, 4, 27) (dual of [(1822, 4), 7215, 28]-NRT-code)	[i]
8	Linear OOA(81⁷⁴, 1840, F₈₁, 4, 27) (dual of [(1840, 4), 7286, 28]-NRT-code)	[i]
9	Linear OOA(81⁷⁵, 1856, F₈₁, 4, 27) (dual of [(1856, 4), 7349, 28]-NRT-code)	[i]
10	Linear OOA(81⁷⁶, 1872, F₈₁, 4, 27) (dual of [(1872, 4), 7412, 28]-NRT-code)	[i]
11	Linear OOA(81⁷⁷, 1890, F₈₁, 4, 27) (dual of [(1890, 4), 7483, 28]-NRT-code)	[i]
12	Linear OOA(81⁷⁶, 1886, F₈₁, 4, 27) (dual of [(1886, 4), 7468, 28]-NRT-code)	[i]
13	Linear OOA(81⁷⁷, 1904, F₈₁, 4, 27) (dual of [(1904, 4), 7539, 28]-NRT-code)	[i]