Information on Result #693421
Linear OA(25106, 15628, F25, 37) (dual of [15628, 15522, 38]-code), using construction X applied to Ce(36) ⊂ Ce(35) based on
- linear OA(25106, 15625, F25, 37) (dual of [15625, 15519, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(25103, 15625, F25, 36) (dual of [15625, 15522, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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, 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(25106, 7814, F25, 2, 37) (dual of [(7814, 2), 15522, 38]-NRT-code) | [i] | OOA Folding | |