Information on Result #1717643
Linear OOA(470, 8206, F4, 15, 12) (dual of [(8206, 15), 123020, 13]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(470, 16413, F4, 3, 12) (dual of [(16413, 3), 49169, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(470, 16413, F4, 12) (dual of [16413, 16343, 13]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(468, 16409, F4, 12) (dual of [16409, 16341, 13]-code), using
- 1 times truncation [i] based on linear OA(469, 16410, F4, 13) (dual of [16410, 16341, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(443, 16384, F4, 9) (dual of [16384, 16341, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(45, 26, F4, 3) (dual of [26, 21, 4]-code or 26-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- 1 times truncation [i] based on linear OA(469, 16410, F4, 13) (dual of [16410, 16341, 14]-code), using
- linear OA(468, 16411, F4, 11) (dual of [16411, 16343, 12]-code), using Gilbert–Varšamov bound and bm = 468 > Vbs−1(k−1) = 22984 360908 873290 560057 037615 529707 133496 [i]
- linear OA(40, 2, F4, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(468, 16409, F4, 12) (dual of [16409, 16341, 13]-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 (58, 70, 8206)-net over F4 | [i] | Net Defined by OOA | |