Information on Result #687403
Linear OA(8169, 4152, F8, 44) (dual of [4152, 3983, 45]-code), using construction X applied to Ce(43) ⊂ Ce(32) based on
- linear OA(8153, 4096, F8, 44) (dual of [4096, 3943, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(8113, 4096, F8, 33) (dual of [4096, 3983, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(816, 56, F8, 10) (dual of [56, 40, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(816, 63, F8, 10) (dual of [63, 47, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(816, 63, F8, 10) (dual of [63, 47, 11]-code), using
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 | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8170, 4153, F8, 44) (dual of [4153, 3983, 45]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8171, 4154, F8, 44) (dual of [4154, 3983, 45]-code) | [i] | ||
| 3 | Linear OA(8172, 4155, F8, 44) (dual of [4155, 3983, 45]-code) | [i] | ||
| 4 | Linear OOA(8169, 2076, F8, 2, 44) (dual of [(2076, 2), 3983, 45]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8169, 1384, F8, 3, 44) (dual of [(1384, 3), 3983, 45]-NRT-code) | [i] | ||