Information on Result #2497309
Linear OOA(4181, 2084, F4, 2, 35) (dual of [(2084, 2), 3987, 36]-NRT-code), using 41 times duplication based on linear OOA(4180, 2084, F4, 2, 35) (dual of [(2084, 2), 3988, 36]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4178, 2083, F4, 2, 35) (dual of [(2083, 2), 3988, 36]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4178, 4166, F4, 35) (dual of [4166, 3988, 36]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4177, 4165, F4, 35) (dual of [4165, 3988, 36]-code), using
- construction X applied to C([0,17]) ⊂ C([0,12]) [i] based on
- linear OA(4157, 4097, F4, 35) (dual of [4097, 3940, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(4109, 4097, F4, 25) (dual of [4097, 3988, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(420, 68, F4, 9) (dual of [68, 48, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(419, 64, F4, 9) (dual of [64, 45, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(416, 64, F4, 7) (dual of [64, 48, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- construction X applied to C([0,17]) ⊂ C([0,12]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4177, 4165, F4, 35) (dual of [4165, 3988, 36]-code), using
- OOA 2-folding [i] based on linear OA(4178, 4166, F4, 35) (dual of [4166, 3988, 36]-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.