Information on Result #1304396
Linear OA(3136, 2309, F3, 26) (dual of [2309, 2173, 27]-code), using 99 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 1, 0, 1, 0, 0, 1, 4 times 0, 1, 5 times 0, 1, 7 times 0, 1, 10 times 0, 1, 14 times 0, 1, 19 times 0, 1, 24 times 0) based on linear OA(3120, 2194, F3, 26) (dual of [2194, 2074, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(3120, 2187, F3, 26) (dual of [2187, 2067, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3113, 2187, F3, 25) (dual of [2187, 2074, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(30, 7, F3, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(3136, 2309, F3, 2, 26) (dual of [(2309, 2), 4482, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3136, 2309, F3, 3, 26) (dual of [(2309, 3), 6791, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(3136, 2309, F3, 4, 26) (dual of [(2309, 4), 9100, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(3136, 2309, F3, 5, 26) (dual of [(2309, 5), 11409, 27]-NRT-code) | [i] | ||
| 5 | Digital (110, 136, 2309)-net over F3 | [i] | ||
| 6 | Linear OOA(3136, 1154, F3, 2, 26) (dual of [(1154, 2), 2172, 27]-NRT-code) | [i] | OOA Folding | |