Information on Result #1644816
Linear OOA(3153, 62053, F3, 5, 20) (dual of [(62053, 5), 310112, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3153, 62053, F3, 2, 20) (dual of [(62053, 2), 123953, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3153, 88594, F3, 2, 20) (dual of [(88594, 2), 177035, 21]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3152, 88594, F3, 2, 20) (dual of [(88594, 2), 177036, 21]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3150, 88593, F3, 2, 20) (dual of [(88593, 2), 177036, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3150, 177186, F3, 20) (dual of [177186, 177036, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- linear OA(3144, 177147, F3, 20) (dual of [177147, 177003, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- 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]
- linear OA(36, 39, F3, 3) (dual of [39, 33, 4]-code or 39-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(3150, 177186, F3, 20) (dual of [177186, 177036, 21]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3150, 88593, F3, 2, 20) (dual of [(88593, 2), 177036, 21]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3152, 88594, F3, 2, 20) (dual of [(88594, 2), 177036, 21]-NRT-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(3153, 31026, F3, 25, 20) (dual of [(31026, 25), 775497, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |