Information on Result #1717079
Linear OOA(3242, 1660, F3, 45, 41) (dual of [(1660, 45), 74458, 42]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OOA(3242, 6641, F3, 5, 41) (dual of [(6641, 5), 32963, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3242, 6644, F3, 5, 41) (dual of [(6644, 5), 32978, 42]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3242, 6644, F3, 41) (dual of [6644, 6402, 42]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3240, 6640, F3, 41) (dual of [6640, 6400, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(30) [i] based on
- linear OA(3217, 6561, F3, 41) (dual of [6561, 6344, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3161, 6561, F3, 31) (dual of [6561, 6400, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(323, 79, F3, 9) (dual of [79, 56, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(323, 82, F3, 9) (dual of [82, 59, 10]-code), using
- a “GraX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(323, 82, F3, 9) (dual of [82, 59, 10]-code), using
- construction X applied to Ce(40) ⊂ Ce(30) [i] based on
- linear OA(3240, 6642, F3, 40) (dual of [6642, 6402, 41]-code), using Gilbert–Varšamov bound and bm = 3240 > Vbs−1(k−1) = 2 821126 306943 998562 425855 832184 150021 675520 147733 841454 224730 354427 592721 082826 374356 418864 891677 434848 897795 326531 [i]
- linear OA(30, 2, F3, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(3240, 6640, F3, 41) (dual of [6640, 6400, 42]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3242, 6644, F3, 41) (dual of [6644, 6402, 42]-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 (201, 242, 1660)-net over F3 | [i] | Net Defined by OOA | |