Information on Result #1553689
Linear OOA(832, 971, F8, 3, 10) (dual of [(971, 3), 2881, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(832, 971, F8, 10) (dual of [971, 939, 11]-code), using
- 449 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 12 times 0, 1, 34 times 0, 1, 75 times 0, 1, 131 times 0, 1, 188 times 0) [i] based on linear OA(825, 515, F8, 10) (dual of [515, 490, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(825, 512, F8, 10) (dual of [512, 487, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(822, 512, F8, 9) (dual of [512, 490, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(80, 3, F8, 0) (dual of [3, 3, 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
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
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(832, 485, F8, 15, 10) (dual of [(485, 15), 7243, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |