Information on Result #737772
Linear OA(740, 65, F7, 23) (dual of [65, 25, 24]-code), using construction XX applied to Ce(23) ⊂ Ce(16) ⊂ Ce(15) based on
- 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(725, 49, F7, 17) (dual of [49, 24, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(724, 49, F7, 16) (dual of [49, 25, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(76, 15, F7, 5) (dual of [15, 9, 6]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(740, 65, F7, 22) (dual of [65, 25, 23]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(738, 63, F7, 21) (dual of [63, 25, 22]-code) | [i] | Truncation | |
| 3 | Linear OOA(740, 32, F7, 2, 23) (dual of [(32, 2), 24, 24]-NRT-code) | [i] | OOA Folding | |