Information on Result #671205
Linear OA(12872, 32769, F128, 25) (dual of [32769, 32697, 26]-code), using (u, u+v)-construction based on
- linear OA(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(12849, 16385, F128, 25) (dual of [16385, 16336, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
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(12872, 2730, F128, 25, 25) (dual of [(2730, 25), 68178, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |