Information on Result #687264
Linear OA(8100, 4111, F8, 28) (dual of [4111, 4011, 29]-code), using construction X applied to Ce(27) ⊂ Ce(24) based on
- linear OA(897, 4096, F8, 28) (dual of [4096, 3999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(885, 4096, F8, 25) (dual of [4096, 4011, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(83, 15, F8, 2) (dual of [15, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-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(8101, 4112, F8, 28) (dual of [4112, 4011, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8101, 4113, F8, 28) (dual of [4113, 4012, 29]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(8100, 2055, F8, 2, 28) (dual of [(2055, 2), 4010, 29]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(8100, 1370, F8, 3, 28) (dual of [(1370, 3), 4010, 29]-NRT-code) | [i] | ||