Information on Result #1480270
Linear OOA(4209, 7149, F4, 3, 38) (dual of [(7149, 3), 21238, 39]-NRT-code), using OOA 2-folding based on linear OOA(4209, 14298, F4, 2, 38) (dual of [(14298, 2), 28387, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4209, 14299, F4, 2, 38) (dual of [(14299, 2), 28389, 39]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4209, 14299, F4, 38) (dual of [14299, 14090, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(4209, 16424, F4, 38) (dual of [16424, 16215, 39]-code), using
- 5 times code embedding in larger space [i] based on linear OA(4204, 16419, F4, 38) (dual of [16419, 16215, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(32) [i] based on
- linear OA(4197, 16384, F4, 38) (dual of [16384, 16187, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4169, 16384, F4, 33) (dual of [16384, 16215, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(37) ⊂ Ce(32) [i] based on
- 5 times code embedding in larger space [i] based on linear OA(4204, 16419, F4, 38) (dual of [16419, 16215, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(4209, 16424, F4, 38) (dual of [16424, 16215, 39]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4209, 14299, F4, 38) (dual of [14299, 14090, 39]-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.