Information on Result #1452975
Linear OOA(9150, 531472, F9, 2, 27) (dual of [(531472, 2), 1062794, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9150, 531472, F9, 27) (dual of [531472, 531322, 28]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9149, 531470, F9, 27) (dual of [531470, 531321, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,11]) [i] based on
- linear OA(9145, 531442, F9, 27) (dual of [531442, 531297, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(9121, 531442, F9, 23) (dual of [531442, 531321, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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([0,13]) ⊂ C([0,11]) [i] based on
- linear OA(9149, 531471, F9, 26) (dual of [531471, 531322, 27]-code), using Gilbert–Varšamov bound and bm = 9149 > Vbs−1(k−1) = 333 680071 397082 979494 439861 459074 715936 444341 950579 763665 484894 196048 672160 991357 477029 386727 660610 645106 244292 077030 930785 590169 353270 976305 [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(9149, 531470, F9, 27) (dual of [531470, 531321, 28]-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(9150, 265736, F9, 3, 27) (dual of [(265736, 3), 797058, 28]-NRT-code) | [i] | OOA Folding | |