Information on Result #1447497
Linear OOA(8153, 262183, F8, 2, 28) (dual of [(262183, 2), 524213, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8153, 262183, F8, 28) (dual of [262183, 262030, 29]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8152, 262181, F8, 28) (dual of [262181, 262029, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(8145, 262144, F8, 28) (dual of [262144, 261999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8115, 262144, F8, 22) (dual of [262144, 262029, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 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(27) ⊂ Ce(21) [i] based on
- linear OA(8152, 262182, F8, 27) (dual of [262182, 262030, 28]-code), using Gilbert–Varšamov bound and bm = 8152 > Vbs−1(k−1) = 17783 998078 013307 336089 711947 672823 189771 301347 590693 547219 689180 943916 932097 517883 389638 080458 544498 261809 203766 275466 764215 201406 568136 [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(8152, 262181, F8, 28) (dual of [262181, 262029, 29]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8153, 131091, F8, 3, 28) (dual of [(131091, 3), 393120, 29]-NRT-code) | [i] | OOA Folding | |