Information on Result #1732951
Linear OOA(9126, 11815, F9, 33, 27) (dual of [(11815, 33), 389769, 28]-NRT-code), using OOA 5-folding and stacking with additional row based on linear OOA(9126, 59076, F9, 3, 27) (dual of [(59076, 3), 177102, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9126, 59076, F9, 27) (dual of [59076, 58950, 28]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9125, 59074, F9, 27) (dual of [59074, 58949, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,11]) [i] based on
- linear OA(9121, 59050, F9, 27) (dual of [59050, 58929, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(9101, 59050, F9, 23) (dual of [59050, 58949, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(94, 24, F9, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,9)), using
- construction X applied to C([0,13]) ⊂ C([0,11]) [i] based on
- linear OA(9125, 59075, F9, 26) (dual of [59075, 58950, 27]-code), using Gilbert–Varšamov bound and bm = 9125 > Vbs−1(k−1) = 467 014785 933024 956013 050304 056713 981870 865971 129273 360904 924319 321551 973027 212429 544791 537570 944709 759758 676806 811217 [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(9125, 59074, F9, 27) (dual of [59074, 58949, 28]-code), using
- construction X with Varšamov bound [i] based on
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 (99, 126, 11815)-net over F9 | [i] | Net Defined by OOA | |