Information on Result #1445989
Linear OOA(8128, 4875, F8, 2, 35) (dual of [(4875, 2), 9622, 36]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8128, 4875, F8, 35) (dual of [4875, 4747, 36]-code), using
- 768 step Varšamov–Edel lengthening with (ri) = (2, 5 times 0, 1, 26 times 0, 1, 74 times 0, 1, 152 times 0, 1, 229 times 0, 1, 276 times 0) [i] based on linear OA(8121, 4100, F8, 35) (dual of [4100, 3979, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(33) [i] based on
- linear OA(8121, 4096, F8, 35) (dual of [4096, 3975, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(8117, 4096, F8, 34) (dual of [4096, 3979, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(34) ⊂ Ce(33) [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(8128, 2437, F8, 3, 35) (dual of [(2437, 3), 7183, 36]-NRT-code) | [i] | OOA Folding | |