Information on Result #685286
Linear OA(740, 346, F7, 16) (dual of [346, 306, 17]-code), using construction X applied to Ce(15) ⊂ Ce(14) based on
- linear OA(740, 343, F7, 16) (dual of [343, 303, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(737, 343, F7, 15) (dual of [343, 306, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(70, 3, F7, 0) (dual of [3, 3, 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 OA(744, 367, F7, 16) (dual of [367, 323, 17]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(745, 391, F7, 16) (dual of [391, 346, 17]-code) | [i] | ||
| 3 | Linear OA(746, 431, F7, 16) (dual of [431, 385, 17]-code) | [i] | ||
| 4 | Linear OA(747, 485, F7, 16) (dual of [485, 438, 17]-code) | [i] | ||
| 5 | Linear OA(748, 550, F7, 16) (dual of [550, 502, 17]-code) | [i] | ||
| 6 | Linear OA(749, 625, F7, 16) (dual of [625, 576, 17]-code) | [i] | ||
| 7 | Linear OOA(740, 173, F7, 2, 16) (dual of [(173, 2), 306, 17]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(740, 115, F7, 3, 16) (dual of [(115, 3), 305, 17]-NRT-code) | [i] | ||