Information on Result #1720683
Linear OOA(4195, 2742, F4, 39, 34) (dual of [(2742, 39), 106743, 35]-NRT-code), using OOA 6-folding and stacking with additional row based on linear OOA(4195, 16453, F4, 3, 34) (dual of [(16453, 3), 49164, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4195, 16453, F4, 34) (dual of [16453, 16258, 35]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4194, 16451, F4, 34) (dual of [16451, 16257, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(24) [i] based on
- linear OA(4176, 16384, F4, 34) (dual of [16384, 16208, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4127, 16384, F4, 25) (dual of [16384, 16257, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(418, 67, F4, 8) (dual of [67, 49, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 68, F4, 8) (dual of [68, 50, 9]-code), using
- construction X applied to Ce(33) ⊂ Ce(24) [i] based on
- linear OA(4194, 16452, F4, 33) (dual of [16452, 16258, 34]-code), using Gilbert–Varšamov bound and bm = 4194 > Vbs−1(k−1) = 5 662938 997901 013253 120575 521818 338673 923901 746321 457859 516112 002258 730929 634579 370329 981557 669641 776631 370347 615270 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 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(4194, 16451, F4, 34) (dual of [16451, 16257, 35]-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 (161, 195, 2742)-net over F4 | [i] | Net Defined by OOA | |