Information on Result #1726379
Linear OOA(7104, 4210, F7, 27, 23) (dual of [(4210, 27), 113566, 24]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OOA(7104, 16841, F7, 3, 23) (dual of [(16841, 3), 50419, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(7104, 16841, F7, 23) (dual of [16841, 16737, 24]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(7103, 16839, F7, 23) (dual of [16839, 16736, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(796, 16807, F7, 23) (dual of [16807, 16711, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(771, 16807, F7, 17) (dual of [16807, 16736, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(77, 32, F7, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(7103, 16840, F7, 22) (dual of [16840, 16737, 23]-code), using Gilbert–Varšamov bound and bm = 7103 > Vbs−1(k−1) = 23 996431 312305 172653 319647 709054 911929 803346 902005 309521 315644 523170 661060 501274 527479 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(7103, 16839, F7, 23) (dual of [16839, 16736, 24]-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 (81, 104, 4210)-net over F7 | [i] | Net Defined by OOA | |