Information on Result #609920

Linear OA(825, 28, F8, 23) (dual of [28, 3, 24]-code), using Denniston code D(2,8)

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:

ResultThis
result
only		Method
1Linear OA(825, 28, F8, 22) (dual of [28, 3, 23]-code) [i]Strength Reduction
2Linear OA(824, 27, F8, 22) (dual of [27, 3, 23]-code) [i]Truncation
3Linear OA(823, 26, F8, 21) (dual of [26, 3, 22]-code) [i]
4Linear OA(822, 25, F8, 20) (dual of [25, 3, 21]-code) [i]
5Linear OA(821, 24, F8, 19) (dual of [24, 3, 20]-code) [i]
6Linear OA(820, 23, F8, 18) (dual of [23, 3, 19]-code) [i]
7Linear OA(819, 22, F8, 17) (dual of [22, 3, 18]-code) [i]
8Linear OA(818, 21, F8, 16) (dual of [21, 3, 17]-code) [i]
9Linear OA(817, 20, F8, 15) (dual of [20, 3, 16]-code) [i]
10Linear OA(8149, 540, F8, 47) (dual of [540, 391, 48]-code) [i](u, u+v)-Construction
11Linear OA(8146, 540, F8, 46) (dual of [540, 394, 47]-code) [i]
12Linear OA(828, 31, F8, 24) (dual of [31, 3, 25]-code) [i]Juxtaposition
13Linear OA(829, 32, F8, 25) (dual of [32, 3, 26]-code) [i]
14Linear OA(830, 33, F8, 26) (dual of [33, 3, 27]-code) [i]
15Linear OA(831, 34, F8, 27) (dual of [34, 3, 28]-code) [i]
16Linear OA(832, 35, F8, 28) (dual of [35, 3, 29]-code) [i]
17Linear OA(833, 36, F8, 29) (dual of [36, 3, 30]-code) [i]
18Linear OA(834, 37, F8, 30) (dual of [37, 3, 31]-code) [i]
19Linear OA(835, 38, F8, 31) (dual of [38, 3, 32]-code) [i]
20Linear OA(837, 40, F8, 32) (dual of [40, 3, 33]-code) [i]
21Linear OA(838, 41, F8, 33) (dual of [41, 3, 34]-code) [i]
22Linear OA(839, 42, F8, 34) (dual of [42, 3, 35]-code) [i]
23Linear OA(2103, 112, F2, 47) (dual of [112, 9, 48]-code) [i]Concatenation of Two Codes
24Linear OA(2187, 196, F2, 95) (dual of [196, 9, 96]-code) [i]
25Linear OOA(2159, 84, F2, 2, 95) (dual of [(84, 2), 9, 96]-NRT-code) [i]Concatenation of Two NRT-Codes
26Linear OOA(2159, 56, F2, 3, 95) (dual of [(56, 3), 9, 96]-NRT-code) [i]
27Linear OOA(2243, 84, F2, 3, 167) (dual of [(84, 3), 9, 168]-NRT-code) [i]
28Linear OOA(2237, 81, F2, 3, 167) (dual of [(81, 3), 6, 168]-NRT-code) [i]
29Linear OOA(825, 14, F8, 2, 23) (dual of [(14, 2), 3, 24]-NRT-code) [i]OOA Folding