Information on Result #1452445
Linear OOA(9141, 531487, F9, 2, 25) (dual of [(531487, 2), 1062833, 26]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9141, 531487, F9, 25) (dual of [531487, 531346, 26]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9140, 531485, F9, 25) (dual of [531485, 531345, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(9133, 531442, F9, 25) (dual of [531442, 531309, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(997, 531442, F9, 19) (dual of [531442, 531345, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(97, 43, F9, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(9140, 531486, F9, 24) (dual of [531486, 531346, 25]-code), using Gilbert–Varšamov bound and bm = 9140 > Vbs−1(k−1) = 11083 174227 542061 617743 038350 578212 532405 981204 499570 542011 342208 887422 756236 925904 081072 634933 886191 551034 215922 375738 672766 993001 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 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
- linear OA(9140, 531485, F9, 25) (dual of [531485, 531345, 26]-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(9141, 265743, F9, 3, 25) (dual of [(265743, 3), 797088, 26]-NRT-code) | [i] | OOA Folding | |