Information on Result #2699670
Linear OOA(8136, 699065, F8, 3, 21) (dual of [(699065, 3), 2097059, 22]-NRT-code), using 81 times duplication based on linear OOA(8135, 699065, F8, 3, 21) (dual of [(699065, 3), 2097060, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8135, 2097195, F8, 21) (dual of [2097195, 2097060, 22]-code), using
- 1 times code embedding in larger space [i] based on linear OA(8134, 2097194, F8, 21) (dual of [2097194, 2097060, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- linear OA(8127, 2097152, F8, 21) (dual of [2097152, 2097025, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(892, 2097152, F8, 15) (dual of [2097152, 2097060, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(87, 42, F8, 5) (dual of [42, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(8134, 2097194, F8, 21) (dual of [2097194, 2097060, 22]-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.