Information on Result #2226402
Linear OA(2183, 8205, F2, 28) (dual of [8205, 8022, 29]-code), using 1 times truncation based on linear OA(2184, 8206, F2, 29) (dual of [8206, 8022, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(26) [i] based on
- linear OA(2183, 8192, F2, 29) (dual of [8192, 8009, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2170, 8192, F2, 27) (dual of [8192, 8022, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(21, 14, F2, 1) (dual of [14, 13, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2185, 8207, F2, 28) (dual of [8207, 8022, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2186, 8208, F2, 28) (dual of [8208, 8022, 29]-code) | [i] | ||
| 3 | Linear OA(2187, 8209, F2, 28) (dual of [8209, 8022, 29]-code) | [i] | ||
| 4 | Linear OOA(2183, 4102, F2, 2, 28) (dual of [(4102, 2), 8021, 29]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2183, 2735, F2, 3, 28) (dual of [(2735, 3), 8022, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(2183, 2051, F2, 4, 28) (dual of [(2051, 4), 8021, 29]-NRT-code) | [i] | ||
| 7 | Linear OOA(2183, 1641, F2, 5, 28) (dual of [(1641, 5), 8022, 29]-NRT-code) | [i] | ||
| 8 | Linear OOA(2183, 1367, F2, 6, 28) (dual of [(1367, 6), 8019, 29]-NRT-code) | [i] | ||
| 9 | Linear OOA(2183, 1172, F2, 7, 28) (dual of [(1172, 7), 8021, 29]-NRT-code) | [i] | ||
| 10 | Linear OOA(2183, 1025, F2, 8, 28) (dual of [(1025, 8), 8017, 29]-NRT-code) | [i] | ||
| 11 | Linear OOA(2183, 586, F2, 28, 28) (dual of [(586, 28), 16225, 29]-NRT-code) | [i] | OA Folding and Stacking | |