Information on Result #1651693
Linear OOA(3240, 370749, F3, 5, 28) (dual of [(370749, 5), 1853505, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3240, 370749, F3, 4, 28) (dual of [(370749, 4), 1482756, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3240, 398588, F3, 4, 28) (dual of [(398588, 4), 1594112, 29]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3239, 398588, F3, 4, 28) (dual of [(398588, 4), 1594113, 29]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3239, 1594352, F3, 28) (dual of [1594352, 1594113, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3239, 1594353, F3, 28) (dual of [1594353, 1594114, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(24) [i] based on
- linear OA(3235, 1594323, F3, 28) (dual of [1594323, 1594088, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3209, 1594323, F3, 25) (dual of [1594323, 1594114, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(34, 30, F3, 2) (dual of [30, 26, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(27) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(3239, 1594353, F3, 28) (dual of [1594353, 1594114, 29]-code), using
- OOA 4-folding [i] based on linear OA(3239, 1594352, F3, 28) (dual of [1594352, 1594113, 29]-code), using
- 31 times duplication [i] based on linear OOA(3239, 398588, F3, 4, 28) (dual of [(398588, 4), 1594113, 29]-NRT-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(3240, 123582, F3, 35, 28) (dual of [(123582, 35), 4325130, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |