Information on Result #685132
Linear OA(751, 485, F7, 16) (dual of [485, 434, 17]-code), using construction X applied to Ce(15) ⊂ Ce(14) based on
- linear OA(751, 481, F7, 16) (dual of [481, 430, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 480 | 74−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(747, 481, F7, 15) (dual of [481, 434, 16]-code), using an extension Ce(14) of the narrow-sense BCH-code C(I) with length 480 | 74−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(751, 242, F7, 2, 16) (dual of [(242, 2), 433, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(751, 161, F7, 3, 16) (dual of [(161, 3), 432, 17]-NRT-code) | [i] | ||