Information on Result #841810
Linear OOA(748, 32, F7, 2, 32) (dual of [(32, 2), 16, 33]-NRT-code), using OOA 2-folding based on linear OA(748, 64, F7, 32) (dual of [64, 16, 33]-code), using
- construction XX applied to Ce(31) ⊂ Ce(24) ⊂ Ce(23) [i] based on
- linear OA(740, 49, F7, 32) (dual of [49, 9, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(734, 49, F7, 25) (dual of [49, 15, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(733, 49, F7, 24) (dual of [49, 16, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(77, 14, F7, 6) (dual of [14, 7, 7]-code), using
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
Mode: Constructive and 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(750, 33, F7, 2, 32) (dual of [(33, 2), 16, 33]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(749, 32, F7, 2, 32) (dual of [(32, 2), 15, 33]-NRT-code) | [i] | OOA Duplication | |