Information on Result #615967

Linear OA(9109, 365, F9, 46) (dual of [365, 256, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46

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:

ResultThis
result
only
Method
1Linear OA(9109, 365, F9, 45) (dual of [365, 256, 46]-code) [i]Strength Reduction
2Linear OA(9109, 365, F9, 44) (dual of [365, 256, 45]-code) [i]
3Linear OA(9109, 365, F9, 43) (dual of [365, 256, 44]-code) [i]
4Linear OA(9109, 365, F9, 42) (dual of [365, 256, 43]-code) [i]
5Linear OA(9110, 366, F9, 46) (dual of [366, 256, 47]-code) [i]Code Embedding in Larger Space
6Linear OA(9113, 369, F9, 46) (dual of [369, 256, 47]-code) [i]
7Linear OA(9107, 363, F9, 44) (dual of [363, 256, 45]-code) [i]Truncation
8Linear OA(9106, 362, F9, 43) (dual of [362, 256, 44]-code) [i]
9Linear OA(9105, 361, F9, 42) (dual of [361, 256, 43]-code) [i]
10Linear OA(9104, 360, F9, 41) (dual of [360, 256, 42]-code) [i]
11Linear OA(9112, 368, F9, 47) (dual of [368, 256, 48]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
12Linear OA(9114, 373, F9, 46) (dual of [373, 259, 47]-code) [i]
13Linear OA(9116, 372, F9, 48) (dual of [372, 256, 49]-code) [i]
14Linear OA(9115, 375, F9, 46) (dual of [375, 260, 47]-code) [i]
15Linear OA(9116, 378, F9, 46) (dual of [378, 262, 47]-code) [i]
16Linear OA(9114, 375, F9, 45) (dual of [375, 261, 46]-code) [i]
17Linear OA(9113, 375, F9, 44) (dual of [375, 262, 45]-code) [i]
18Linear OA(9120, 375, F9, 49) (dual of [375, 255, 50]-code) [i]
19Linear OA(9121, 377, F9, 49) (dual of [377, 256, 50]-code) [i]
20Linear OA(9117, 382, F9, 46) (dual of [382, 265, 47]-code) [i]
21Linear OA(9126, 381, F9, 51) (dual of [381, 255, 52]-code) [i]
22Linear OA(9127, 383, F9, 51) (dual of [383, 256, 52]-code) [i]
23Linear OA(9125, 381, F9, 50) (dual of [381, 256, 51]-code) [i]