Information on Result #1535673
Linear OOA(4106, 524305, F4, 3, 14) (dual of [(524305, 3), 1572809, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4106, 524305, F4, 2, 14) (dual of [(524305, 2), 1048504, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4106, 1048610, F4, 14) (dual of [1048610, 1048504, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(4106, 1048611, F4, 14) (dual of [1048611, 1048505, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- 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(471, 1048576, F4, 10) (dual of [1048576, 1048505, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(45, 35, F4, 3) (dual of [35, 30, 4]-code or 35-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(4106, 1048611, F4, 14) (dual of [1048611, 1048505, 15]-code), using
Mode: 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(4106, 174768, F4, 21, 14) (dual of [(174768, 21), 3670022, 15]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |