Information on Result #2226935
Linear OA(2223, 32825, F2, 28) (dual of [32825, 32602, 29]-code), using 1 times truncation based on linear OA(2224, 32826, F2, 29) (dual of [32826, 32602, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(2211, 32768, F2, 29) (dual of [32768, 32557, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2166, 32768, F2, 23) (dual of [32768, 32602, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(213, 58, F2, 5) (dual of [58, 45, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-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 OOA(2223, 16412, F2, 2, 28) (dual of [(16412, 2), 32601, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2223, 10941, F2, 3, 28) (dual of [(10941, 3), 32600, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(2223, 8206, F2, 4, 28) (dual of [(8206, 4), 32601, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(2223, 6565, F2, 5, 28) (dual of [(6565, 5), 32602, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(2223, 5470, F2, 6, 28) (dual of [(5470, 6), 32597, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(2223, 4689, F2, 7, 28) (dual of [(4689, 7), 32600, 29]-NRT-code) | [i] | ||
| 7 | Linear OOA(2223, 4103, F2, 8, 28) (dual of [(4103, 8), 32601, 29]-NRT-code) | [i] | ||
| 8 | Linear OOA(2223, 2344, F2, 28, 28) (dual of [(2344, 28), 65409, 29]-NRT-code) | [i] | OA Folding and Stacking | |