Information on Result #737465
Linear OA(5137, 1953180, F5, 18) (dual of [1953180, 1953043, 19]-code), using construction X applied to Ce(17) ⊂ Ce(11) based on
- linear OA(5127, 1953125, F5, 18) (dual of [1953125, 1952998, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(582, 1953125, F5, 12) (dual of [1953125, 1953043, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(510, 55, F5, 5) (dual of [55, 45, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(510, 68, F5, 5) (dual of [68, 58, 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(5137, 976590, F5, 2, 18) (dual of [(976590, 2), 1953043, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5137, 651060, F5, 3, 18) (dual of [(651060, 3), 1953043, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(5137, 217020, F5, 18, 18) (dual of [(217020, 18), 3906223, 19]-NRT-code) | [i] | OA Folding and Stacking | |