Information on Result #2699719
Linear OOA(8125, 87394, F8, 3, 22) (dual of [(87394, 3), 262057, 23]-NRT-code), using 82 times duplication based on linear OOA(8123, 87394, F8, 3, 22) (dual of [(87394, 3), 262059, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8123, 262182, F8, 22) (dual of [262182, 262059, 23]-code), using
- 2 times code embedding in larger space [i] based on linear OA(8121, 262180, F8, 22) (dual of [262180, 262059, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(8115, 262144, F8, 22) (dual of [262144, 262029, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(885, 262144, F8, 17) (dual of [262144, 262059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(86, 36, F8, 4) (dual of [36, 30, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(8121, 262180, F8, 22) (dual of [262180, 262059, 23]-code), 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
None.