Information on Result #1444114
Linear OOA(881, 5409, F8, 2, 21) (dual of [(5409, 2), 10737, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(881, 5409, F8, 21) (dual of [5409, 5328, 22]-code), using
- 1301 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 14 times 0, 1, 43 times 0, 1, 110 times 0, 1, 235 times 0, 1, 386 times 0, 1, 503 times 0) [i] based on linear OA(873, 4100, F8, 21) (dual of [4100, 4027, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(873, 4096, F8, 21) (dual of [4096, 4023, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(869, 4096, F8, 20) (dual of [4096, 4027, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 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(20) ⊂ Ce(19) [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(881, 2704, F8, 3, 21) (dual of [(2704, 3), 8031, 22]-NRT-code) | [i] | OOA Folding | |