Information on Result #1449124
Linear OOA(935, 1248, F9, 2, 11) (dual of [(1248, 2), 2461, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(935, 1248, F9, 11) (dual of [1248, 1213, 12]-code), using
- 509 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 11 times 0, 1, 32 times 0, 1, 79 times 0, 1, 151 times 0, 1, 228 times 0) [i] based on linear OA(928, 732, F9, 11) (dual of [732, 704, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(928, 729, F9, 11) (dual of [729, 701, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(925, 729, F9, 10) (dual of [729, 704, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [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(935, 624, F9, 3, 11) (dual of [(624, 3), 1837, 12]-NRT-code) | [i] | OOA Folding | |