Information on Result #1721225
Linear OOA(4220, 2349, F4, 45, 39) (dual of [(2349, 45), 105485, 40]-NRT-code), using OOA 7-folding and stacking with additional row based on linear OOA(4220, 16444, F4, 3, 39) (dual of [(16444, 3), 49112, 40]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4220, 16444, F4, 39) (dual of [16444, 16224, 40]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4218, 16440, F4, 39) (dual of [16440, 16222, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(30) [i] based on
- linear OA(4204, 16384, F4, 39) (dual of [16384, 16180, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4162, 16384, F4, 31) (dual of [16384, 16222, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(414, 56, F4, 7) (dual of [56, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-code), using
- a “GraXX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-code), using
- construction X applied to Ce(38) ⊂ Ce(30) [i] based on
- linear OA(4218, 16442, F4, 38) (dual of [16442, 16224, 39]-code), using Gilbert–Varšamov bound and bm = 4218 > Vbs−1(k−1) = 30677 150176 584088 669507 683963 646940 620101 150064 912773 882772 440054 274121 533020 149443 758716 347565 879824 992530 439843 307047 728117 595244 [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(4218, 16440, F4, 39) (dual of [16440, 16222, 40]-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 (181, 220, 2349)-net over F4 | [i] | Net Defined by OOA | |