Information on Result #732932
Linear OA(2543, 15682, F25, 12) (dual of [15682, 15639, 13]-code), using (u, u+v)-construction based on
- linear OA(259, 54, F25, 6) (dual of [54, 45, 7]-code), using
- construction X applied to C([10,15]) ⊂ C([11,15]) [i] based on
- linear OA(259, 52, F25, 6) (dual of [52, 43, 7]-code), using the BCH-code C(I) with length 52 | 252−1, defining interval I = {10,11,…,15}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(257, 52, F25, 5) (dual of [52, 45, 6]-code), using the BCH-code C(I) with length 52 | 252−1, defining interval I = {11,12,13,14,15}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(250, 2, F25, 0) (dual of [2, 2, 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
- construction X applied to C([10,15]) ⊂ C([11,15]) [i] based on
- linear OA(2534, 15628, F25, 12) (dual of [15628, 15594, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(2534, 15625, F25, 12) (dual of [15625, 15591, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2531, 15625, F25, 11) (dual of [15625, 15594, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 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 (see above)
- construction X applied to Ce(11) ⊂ Ce(10) [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(2543, 7841, F25, 2, 12) (dual of [(7841, 2), 15639, 13]-NRT-code) | [i] | OOA Folding | |