Information on Result #1613187
Linear OOA(3250, 70166, F3, 4, 32) (dual of [(70166, 4), 280414, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3250, 70166, F3, 2, 32) (dual of [(70166, 2), 140082, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3250, 88610, F3, 2, 32) (dual of [(88610, 2), 176970, 33]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3248, 88609, F3, 2, 32) (dual of [(88609, 2), 176970, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3248, 177218, F3, 32) (dual of [177218, 176970, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(24) [i] based on
- linear OA(3232, 177147, F3, 32) (dual of [177147, 176915, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3177, 177147, F3, 25) (dual of [177147, 176970, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(316, 71, F3, 6) (dual of [71, 55, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 80, F3, 6) (dual of [80, 64, 7]-code), using
- the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(316, 80, F3, 6) (dual of [80, 64, 7]-code), using
- construction X applied to Ce(31) ⊂ Ce(24) [i] based on
- OOA 2-folding [i] based on linear OA(3248, 177218, F3, 32) (dual of [177218, 176970, 33]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3248, 88609, F3, 2, 32) (dual of [(88609, 2), 176970, 33]-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(3250, 17541, F3, 36, 32) (dual of [(17541, 36), 631226, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |