Information on Result #1732999
Linear OOA(9150, 106294, F9, 33, 27) (dual of [(106294, 33), 3507552, 28]-NRT-code), using OOA 5-folding and stacking with additional row based on linear OOA(9150, 531471, F9, 3, 27) (dual of [(531471, 3), 1594263, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9150, 531472, F9, 3, 27) (dual of [(531472, 3), 1594266, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] 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
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9150, 531472, F9, 27) (dual of [531472, 531322, 28]-code), using
Mode: Linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (123, 150, 106294)-net over F9 | [i] | Net Defined by OOA | |