Information on Result #679045
Linear OA(499, 16391, F4, 19) (dual of [16391, 16292, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
- linear OA(499, 16384, F4, 19) (dual of [16384, 16285, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(40, 7, F4, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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 OOA(499, 8195, F4, 2, 19) (dual of [(8195, 2), 16291, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(499, 5463, F4, 3, 19) (dual of [(5463, 3), 16290, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(499, 1821, F4, 19, 19) (dual of [(1821, 19), 34500, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |