Information on Result #1603073
Linear OOA(3110, 59048, F3, 4, 15) (dual of [(59048, 4), 236082, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3110, 59048, F3, 3, 15) (dual of [(59048, 3), 177034, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3110, 177144, F3, 15) (dual of [177144, 177034, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3110, 177146, F3, 15) (dual of [177146, 177036, 16]-code), using
- 1 times truncation [i] based on linear OA(3111, 177147, F3, 16) (dual of [177147, 177036, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 1 times truncation [i] based on linear OA(3111, 177147, F3, 16) (dual of [177147, 177036, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3110, 177146, F3, 15) (dual of [177146, 177036, 16]-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(3110, 29523, F3, 20, 15) (dual of [(29523, 20), 590350, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |