Information on Result #679041
Linear OA(4120, 16391, F4, 23) (dual of [16391, 16271, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
- linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4113, 16384, F4, 22) (dual of [16384, 16271, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(4120, 8195, F4, 2, 23) (dual of [(8195, 2), 16270, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4120, 5463, F4, 3, 23) (dual of [(5463, 3), 16269, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(4120, 1490, F4, 23, 23) (dual of [(1490, 23), 34150, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |