Information on Result #682978
Linear OA(546, 3130, F5, 12) (dual of [3130, 3084, 13]-code), using construction X applied to Ce(11) ⊂ Ce(10) based on
- linear OA(546, 3125, F5, 12) (dual of [3125, 3079, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- 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(50, 5, F5, 0) (dual of [5, 5, 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(547, 3131, F5, 12) (dual of [3131, 3084, 13]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(548, 3134, F5, 12) (dual of [3134, 3086, 13]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(549, 3140, F5, 12) (dual of [3140, 3091, 13]-code) | [i] | ||
| 4 | Linear OA(550, 3153, F5, 12) (dual of [3153, 3103, 13]-code) | [i] | ||
| 5 | Linear OA(551, 3181, F5, 12) (dual of [3181, 3130, 13]-code) | [i] | ||
| 6 | Linear OA(552, 3240, F5, 12) (dual of [3240, 3188, 13]-code) | [i] | ||
| 7 | Linear OA(553, 3362, F5, 12) (dual of [3362, 3309, 13]-code) | [i] | ||
| 8 | Linear OOA(546, 1565, F5, 2, 12) (dual of [(1565, 2), 3084, 13]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(546, 1043, F5, 3, 12) (dual of [(1043, 3), 3083, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(546, 521, F5, 12, 12) (dual of [(521, 12), 6206, 13]-NRT-code) | [i] | OA Folding and Stacking | |