Information on Result #1731937
Linear OOA(9106, 177160, F9, 21, 19) (dual of [(177160, 21), 3720254, 20]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(9106, 531481, F9, 3, 19) (dual of [(531481, 3), 1594337, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9106, 531482, F9, 3, 19) (dual of [(531482, 3), 1594340, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9106, 531482, F9, 19) (dual of [531482, 531376, 20]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9104, 531478, F9, 19) (dual of [531478, 531374, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(12) [i] based on
- linear OA(997, 531441, F9, 19) (dual of [531441, 531344, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(967, 531441, F9, 13) (dual of [531441, 531374, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- construction X applied to Ce(18) ⊂ Ce(12) [i] based on
- linear OA(9104, 531480, F9, 18) (dual of [531480, 531376, 19]-code), using Gilbert–Varšamov bound and bm = 9104 > Vbs−1(k−1) = 136 337624 831161 448362 005612 235322 875092 079314 504022 616837 598118 105615 078081 767008 252949 492945 806841 [i]
- linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(9104, 531478, F9, 19) (dual of [531478, 531374, 20]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9106, 531482, F9, 19) (dual of [531482, 531376, 20]-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 (87, 106, 177160)-net over F9 | [i] | Net Defined by OOA | |