Information on Result #1728295
Linear OOA(8114, 65543, F8, 27, 21) (dual of [(65543, 27), 1769547, 22]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OOA(8114, 262173, F8, 3, 21) (dual of [(262173, 3), 786405, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8114, 262175, F8, 3, 21) (dual of [(262175, 3), 786411, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8114, 262175, F8, 21) (dual of [262175, 262061, 22]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8113, 262173, F8, 21) (dual of [262173, 262060, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
- linear OA(8109, 262145, F8, 21) (dual of [262145, 262036, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(885, 262145, F8, 17) (dual of [262145, 262060, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(84, 28, F8, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,8)), using
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
- linear OA(8113, 262174, F8, 20) (dual of [262174, 262061, 21]-code), using Gilbert–Varšamov bound and bm = 8113 > Vbs−1(k−1) = 840737 993026 812655 501009 222403 482943 967054 533822 865466 612498 549977 968318 516672 439606 915542 744250 309140 [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(8113, 262173, F8, 21) (dual of [262173, 262060, 22]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8114, 262175, F8, 21) (dual of [262175, 262061, 22]-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 (93, 114, 65543)-net over F8 | [i] | Net Defined by OOA | |