Information on Result #678123
Linear OA(4111, 1048586, F4, 15) (dual of [1048586, 1048475, 16]-code), using construction X applied to Ce(14) ⊂ Ce(13) based on
- linear OA(4111, 1048576, F4, 15) (dual of [1048576, 1048465, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(4101, 1048576, F4, 14) (dual of [1048576, 1048475, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(40, 10, F4, 0) (dual of [10, 10, 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(4111, 524293, F4, 2, 15) (dual of [(524293, 2), 1048475, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4111, 349528, F4, 3, 15) (dual of [(349528, 3), 1048473, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(4111, 149797, F4, 15, 15) (dual of [(149797, 15), 2246844, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |