Information on Result #1442250
Linear OOA(792, 5211, F7, 2, 23) (dual of [(5211, 2), 10330, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(792, 5211, F7, 23) (dual of [5211, 5119, 24]-code), using
- 403 step Varšamov–Edel lengthening with (ri) = (1, 104 times 0, 1, 297 times 0) [i] based on linear OA(790, 4806, F7, 23) (dual of [4806, 4716, 24]-code), using
- trace code [i] based on linear OA(4945, 2403, F49, 23) (dual of [2403, 2358, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(4945, 2401, F49, 23) (dual of [2401, 2356, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4943, 2401, F49, 22) (dual of [2401, 2358, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- trace code [i] based on linear OA(4945, 2403, F49, 23) (dual of [2403, 2358, 24]-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(792, 2605, F7, 3, 23) (dual of [(2605, 3), 7723, 24]-NRT-code) | [i] | OOA Folding | |