Information on Result #1547669
Linear OOA(565, 2360, F5, 3, 16) (dual of [(2360, 3), 7015, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(565, 2360, F5, 16) (dual of [2360, 2295, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(565, 3144, F5, 16) (dual of [3144, 3079, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(546, 3125, F5, 12) (dual of [3125, 3079, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(54, 19, F5, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,5)), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
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(565, 786, F5, 21, 16) (dual of [(786, 21), 16441, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |