Information on Result #1717573
Linear OOA(484, 262150, F4, 15, 11) (dual of [(262150, 15), 3932166, 12]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(484, 524301, F4, 3, 11) (dual of [(524301, 3), 1572819, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(484, 524301, F4, 2, 11) (dual of [(524301, 2), 1048518, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(484, 1048602, F4, 11) (dual of [1048602, 1048518, 12]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(482, 1048599, F4, 11) (dual of [1048599, 1048517, 12]-code), using
- construction X4 applied to C([0,5]) ⊂ C([0,4]) [i] based on
- linear OA(481, 1048577, F4, 11) (dual of [1048577, 1048496, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(461, 1048577, F4, 9) (dual of [1048577, 1048516, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(421, 22, F4, 21) (dual of [22, 1, 22]-code or 22-arc in PG(20,4)), using
- dual of repetition code with length 22 [i]
- linear OA(41, 22, F4, 1) (dual of [22, 21, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to C([0,5]) ⊂ C([0,4]) [i] based on
- linear OA(482, 1048600, F4, 9) (dual of [1048600, 1048518, 10]-code), using Gilbert–Varšamov bound and bm = 482 > Vbs−1(k−1) = 237856 232576 187549 974856 024211 765017 061338 727546 [i]
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s (see above)
- linear OA(482, 1048599, F4, 11) (dual of [1048599, 1048517, 12]-code), using
- construction X with Varšamov bound [i] based on
- OOA 2-folding [i] based on linear OA(484, 1048602, F4, 11) (dual of [1048602, 1048518, 12]-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 (73, 84, 262150)-net over F4 | [i] | Net Defined by OOA | |