Information on Result #682676
Linear OA(552, 15640, F5, 11) (dual of [15640, 15588, 12]-code), using construction X applied to Ce(10) ⊂ Ce(7) based on
- linear OA(549, 15625, F5, 11) (dual of [15625, 15576, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(537, 15625, F5, 8) (dual of [15625, 15588, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(53, 15, F5, 2) (dual of [15, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-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(552, 7820, F5, 2, 11) (dual of [(7820, 2), 15588, 12]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(552, 5213, F5, 3, 11) (dual of [(5213, 3), 15587, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(552, 3127, F5, 11, 11) (dual of [(3127, 11), 34345, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |