Information on Result #1534745
Linear OOA(478, 4117, F4, 3, 16) (dual of [(4117, 3), 12273, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(478, 4117, F4, 16) (dual of [4117, 4039, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(478, 4119, F4, 16) (dual of [4119, 4041, 17]-code), using
- strength reduction [i] based on linear OA(478, 4119, F4, 17) (dual of [4119, 4041, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(473, 4096, F4, 17) (dual of [4096, 4023, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(455, 4096, F4, 13) (dual of [4096, 4041, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-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(16) ⊂ Ce(12) [i] based on
- strength reduction [i] based on linear OA(478, 4119, F4, 17) (dual of [4119, 4041, 18]-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(478, 1372, F4, 21, 16) (dual of [(1372, 21), 28734, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |