Information on Result #1305441
Linear OA(3240, 3296, F3, 46) (dual of [3296, 3056, 47]-code), using 3 step Varšamov–Edel lengthening with (ri) = (1, 0, 0) based on linear OA(3239, 3292, F3, 46) (dual of [3292, 3053, 47]-code), using
- construction XX applied to Ce(45) ⊂ Ce(43) ⊂ Ce(42) [i] based on
- linear OA(3237, 3281, F3, 46) (dual of [3281, 3044, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(3229, 3281, F3, 44) (dual of [3281, 3052, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3221, 3281, F3, 43) (dual of [3281, 3060, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(31, 10, F3, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(3240, 3296, F3, 2, 46) (dual of [(3296, 2), 6352, 47]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3240, 3296, F3, 3, 46) (dual of [(3296, 3), 9648, 47]-NRT-code) | [i] | ||
| 3 | Linear OOA(3240, 3296, F3, 4, 46) (dual of [(3296, 4), 12944, 47]-NRT-code) | [i] | ||
| 4 | Linear OOA(3240, 3296, F3, 5, 46) (dual of [(3296, 5), 16240, 47]-NRT-code) | [i] | ||
| 5 | Digital (194, 240, 3296)-net over F3 | [i] | ||
| 6 | Linear OOA(3240, 1648, F3, 2, 46) (dual of [(1648, 2), 3056, 47]-NRT-code) | [i] | OOA Folding | |