Information on Result #1707865
Linear OOA(518, 7206, F5, 4, 4) (dual of [(7206, 4), 28806, 5]-NRT-code), using appending kth column based on linear OOA(518, 7206, F5, 3, 4) (dual of [(7206, 3), 21600, 5]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(518, 7206, F5, 4) (dual of [7206, 7188, 5]-code), using
- 4074 step Varšamov–Edel lengthening with (ri) = (1, 1315 times 0, 1, 2757 times 0) [i] based on linear OA(516, 3130, F5, 4) (dual of [3130, 3114, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(516, 3125, F5, 4) (dual of [3125, 3109, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(511, 3125, F5, 3) (dual of [3125, 3114, 4]-code or 3125-cap in PG(10,5)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(50, 5, F5, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- 4074 step Varšamov–Edel lengthening with (ri) = (1, 1315 times 0, 1, 2757 times 0) [i] based on linear OA(516, 3130, F5, 4) (dual of [3130, 3114, 5]-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 (14, 18, 7206)-net over F5 | [i] | Net Defined by OOA | |