Information on Result #1165960
Linear OOA(2147, 1026, F2, 8, 23) (dual of [(1026, 8), 8061, 24]-NRT-code), using OOA 8-folding based on linear OA(2147, 8208, F2, 23) (dual of [8208, 8061, 24]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2145, 8206, F2, 23) (dual of [8206, 8061, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(20) [i] based on
- linear OA(2144, 8192, F2, 23) (dual of [8192, 8048, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2131, 8192, F2, 21) (dual of [8192, 8061, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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
- construction X applied to Ce(22) ⊂ Ce(20) [i] based on
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 OOA(2148, 1026, F2, 8, 23) (dual of [(1026, 8), 8060, 24]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2149, 1026, F2, 8, 23) (dual of [(1026, 8), 8059, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(2146, 1025, F2, 8, 22) (dual of [(1025, 8), 8054, 23]-NRT-code) | [i] | Truncation for OOAs | |