Information on Result #737631
Linear OA(547, 3151, F5, 11) (dual of [3151, 3104, 12]-code), using construction X applied to Ce(10) ⊂ Ce(5) based on
- linear OA(541, 3125, F5, 11) (dual of [3125, 3084, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(521, 3125, F5, 6) (dual of [3125, 3104, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(56, 26, F5, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-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 OA(546, 3150, F5, 10) (dual of [3150, 3104, 11]-code) | [i] | Truncation | |
| 2 | Linear OOA(547, 1575, F5, 2, 11) (dual of [(1575, 2), 3103, 12]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(547, 1050, F5, 3, 11) (dual of [(1050, 3), 3103, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(547, 630, F5, 11, 11) (dual of [(630, 11), 6883, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |