Information on Result #737624
Linear OA(582, 3151, F5, 19) (dual of [3151, 3069, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
- linear OA(576, 3125, F5, 19) (dual of [3125, 3049, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(556, 3125, F5, 14) (dual of [3125, 3069, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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 OOA(582, 1575, F5, 2, 19) (dual of [(1575, 2), 3068, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(582, 1050, F5, 3, 19) (dual of [(1050, 3), 3068, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(582, 350, F5, 19, 19) (dual of [(350, 19), 6568, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |