Information on Result #1485892
Linear OOA(5142, 6092, F5, 3, 29) (dual of [(6092, 3), 18134, 30]-NRT-code), using OOA 2-folding based on linear OOA(5142, 12184, F5, 2, 29) (dual of [(12184, 2), 24226, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5142, 12185, F5, 2, 29) (dual of [(12185, 2), 24228, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5142, 12185, F5, 29) (dual of [12185, 12043, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(5142, 15646, F5, 29) (dual of [15646, 15504, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(25) [i] based on
- linear OA(5139, 15625, F5, 29) (dual of [15625, 15486, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(53, 21, F5, 2) (dual of [21, 18, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- construction X applied to Ce(28) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(5142, 15646, F5, 29) (dual of [15646, 15504, 30]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5142, 12185, F5, 29) (dual of [12185, 12043, 30]-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.