Information on Result #671948
Linear OA(2516, 16826, F25, 5) (dual of [16826, 16810, 6]-code), using generalized (u, u+v)-construction based on
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(250, 651, F25, 0) (dual of [651, 651, 1]-code) (see above)
- linear OA(251, 651, F25, 1) (dual of [651, 650, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(251, 651, F25, 1) (dual of [651, 650, 2]-code) (see above)
- linear OA(251, 651, F25, 1) (dual of [651, 650, 2]-code) (see above)
- linear OA(253, 651, F25, 2) (dual of [651, 648, 3]-code), using
- Hamming code H(3,25) [i]
- linear OA(2510, 1202, F25, 5) (dual of [1202, 1192, 6]-code), using
- (u, u+v)-construction [i] based on
- linear OA(253, 601, F25, 2) (dual of [601, 598, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(253, 624, F25, 2) (dual of [624, 621, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(253, 624, F25, 2) (dual of [624, 621, 3]-code), using
- linear OA(257, 601, F25, 5) (dual of [601, 594, 6]-code), using
- linear OA(253, 601, F25, 2) (dual of [601, 598, 3]-code), using
- (u, u+v)-construction [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(2516, 8413, F25, 2, 5) (dual of [(8413, 2), 16810, 6]-NRT-code) | [i] | OOA Folding | |