Information on Result #1303553
Linear OA(9138, 531472, F9, 25) (dual of [531472, 531334, 26]-code), using construction X with Varšamov bound based on
- linear OA(9137, 531470, F9, 25) (dual of [531470, 531333, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [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(9109, 531442, F9, 21) (dual of [531442, 531333, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(94, 28, F9, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,9)), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(9137, 531471, F9, 24) (dual of [531471, 531334, 25]-code), using Gilbert–Varšamov bound and bm = 9137 > Vbs−1(k−1) = 11075 981952 189716 068420 076748 265345 143275 192356 843261 648847 311479 246093 876334 237836 287944 129560 918004 005734 345711 421934 808341 536561 [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
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(9138, 531472, F9, 2, 25) (dual of [(531472, 2), 1062806, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(9138, 531472, F9, 3, 25) (dual of [(531472, 3), 1594278, 26]-NRT-code) | [i] | ||
3 | Digital (113, 138, 531472)-net over F9 | [i] | ||
4 | Linear OOA(9138, 265736, F9, 2, 25) (dual of [(265736, 2), 531334, 26]-NRT-code) | [i] | OOA Folding |