Information on Result #1687598
Linear OOA(2233, 75065, F2, 7, 24) (dual of [(75065, 7), 525222, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2233, 75065, F2, 6, 24) (dual of [(75065, 6), 450157, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2233, 87385, F2, 6, 24) (dual of [(87385, 6), 524077, 25]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2232, 87385, F2, 6, 24) (dual of [(87385, 6), 524078, 25]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2232, 524310, F2, 24) (dual of [524310, 524078, 25]-code), using
- 3 times code embedding in larger space [i] based on linear OA(2229, 524307, F2, 24) (dual of [524307, 524078, 25]-code), using
- 1 times truncation [i] based on linear OA(2230, 524308, F2, 25) (dual of [524308, 524078, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(2229, 524288, F2, 25) (dual of [524288, 524059, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2210, 524288, F2, 23) (dual of [524288, 524078, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(21, 20, F2, 1) (dual of [20, 19, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- 1 times truncation [i] based on linear OA(2230, 524308, F2, 25) (dual of [524308, 524078, 26]-code), using
- 3 times code embedding in larger space [i] based on linear OA(2229, 524307, F2, 24) (dual of [524307, 524078, 25]-code), using
- OOA 6-folding [i] based on linear OA(2232, 524310, F2, 24) (dual of [524310, 524078, 25]-code), using
- 21 times duplication [i] based on linear OOA(2232, 87385, F2, 6, 24) (dual of [(87385, 6), 524078, 25]-NRT-code), using
Mode: 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.