Information on Result #1713447
Linear OOA(3124, 93757, F3, 20, 15) (dual of [(93757, 20), 1875016, 16]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(3124, 187515, F3, 4, 15) (dual of [(187515, 4), 749936, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3124, 187516, F3, 4, 15) (dual of [(187516, 4), 749940, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3124, 187516, F3, 2, 15) (dual of [(187516, 2), 374908, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3124, 265735, F3, 2, 15) (dual of [(265735, 2), 531346, 16]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3122, 265734, F3, 2, 15) (dual of [(265734, 2), 531346, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3122, 531468, F3, 15) (dual of [531468, 531346, 16]-code), using
- construction X4 applied to C([0,7]) ⊂ C([0,6]) [i] based on
- linear OA(3121, 531442, F3, 15) (dual of [531442, 531321, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(397, 531442, F3, 13) (dual of [531442, 531345, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(325, 26, F3, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,3)), using
- dual of repetition code with length 26 [i]
- linear OA(31, 26, F3, 1) (dual of [26, 25, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to C([0,7]) ⊂ C([0,6]) [i] based on
- OOA 2-folding [i] based on linear OA(3122, 531468, F3, 15) (dual of [531468, 531346, 16]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3122, 265734, F3, 2, 15) (dual of [(265734, 2), 531346, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3124, 265735, F3, 2, 15) (dual of [(265735, 2), 531346, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3124, 187516, F3, 2, 15) (dual of [(187516, 2), 374908, 16]-NRT-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 (109, 124, 93757)-net over F3 | [i] | Net Defined by OOA | |