Information on Result #682135
Linear OA(582, 1953134, F5, 12) (dual of [1953134, 1953052, 13]-code), using construction X applied to Ce(11) ⊂ Ce(10) based on
- 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(573, 1953125, F5, 11) (dual of [1953125, 1953052, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(50, 9, F5, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 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 OA(583, 1953135, F5, 12) (dual of [1953135, 1953052, 13]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(584, 1953136, F5, 12) (dual of [1953136, 1953052, 13]-code) | [i] | ||
| 3 | Linear OA(584, 1953137, F5, 12) (dual of [1953137, 1953053, 13]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OOA(582, 976567, F5, 2, 12) (dual of [(976567, 2), 1953052, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(582, 651044, F5, 3, 12) (dual of [(651044, 3), 1953050, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(582, 325522, F5, 12, 12) (dual of [(325522, 12), 3906182, 13]-NRT-code) | [i] | OA Folding and Stacking | |