Information on Result #1548691
Linear OOA(598, 53165, F5, 3, 17) (dual of [(53165, 3), 159397, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(598, 53165, F5, 17) (dual of [53165, 53067, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(598, 78155, F5, 17) (dual of [78155, 78057, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(11) [i] based on
- linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(564, 78125, F5, 12) (dual of [78125, 78061, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(16) ⊂ 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(598, 17721, F5, 21, 17) (dual of [(17721, 21), 372043, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |