Information on Result #1548809
Linear OOA(5101, 195325, F5, 3, 16) (dual of [(195325, 3), 585874, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(5101, 195325, F5, 2, 16) (dual of [(195325, 2), 390549, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5101, 390650, F5, 16) (dual of [390650, 390549, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(5101, 390651, F5, 16) (dual of [390651, 390550, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(573, 390625, F5, 12) (dual of [390625, 390552, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(5101, 390651, F5, 16) (dual of [390651, 390550, 17]-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(5101, 65108, F5, 21, 16) (dual of [(65108, 21), 1367167, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |