Information on Result #1728807
Linear OOA(8157, 524301, F8, 27, 24) (dual of [(524301, 27), 14155970, 25]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OOA(8157, 2097205, F8, 3, 24) (dual of [(2097205, 3), 6291458, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8157, 2097205, F8, 24) (dual of [2097205, 2097048, 25]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8155, 2097201, F8, 24) (dual of [2097201, 2097046, 25]-code), using
- construction X applied to Ce(24) ⊂ Ce(17) [i] based on
- linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8106, 2097152, F8, 18) (dual of [2097152, 2097046, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(87, 49, F8, 5) (dual of [49, 42, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(24) ⊂ Ce(17) [i] based on
- linear OA(8155, 2097203, F8, 23) (dual of [2097203, 2097048, 24]-code), using Gilbert–Varšamov bound and bm = 8155 > Vbs−1(k−1) = 41440 872736 745127 272002 774503 496160 501227 956327 177782 565907 077514 283975 281604 543243 517213 130336 527517 439568 024077 374150 980318 972194 693584 [i]
- linear OA(80, 2, F8, 0) (dual of [2, 2, 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(8155, 2097201, F8, 24) (dual of [2097201, 2097046, 25]-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 (133, 157, 524301)-net over F8 | [i] | Net Defined by OOA | |